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Автор: Grafiati

Опубліковано: 4 червня 2021

Оновлено: 9 березня 2023

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1

Martin, Ursula. "Almost all $p$-groups have automorphism group a $p$-group." Bulletin of the American Mathematical Society 15, no. 1 (July 1, 1986): 78–83. http://dx.doi.org/10.1090/s0273-0979-1986-15441-8.

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2

Dirik, Deniz, and Ahmet Ufuk Komuroglu. "The effect of different doeses of aspirin application on oxidative stress in ovarian tissue." Medical Science and Discovery 8, no. 8 (August 16, 2021): 475–79. http://dx.doi.org/10.36472/msd.v8i8.585.

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Анотація:

Objective: Aspirin is a non-steroidal anti-inflammatory drug with antioxidative properties. It is recommended to use different doses and durations according to the characteristics of the patient and the type of disease. Therefore, in this study, we aimed to investigate the effect of using aspirin at different doses and for different durations on oxidative stress in ovarian tissue. Material and Methods: Female Wistar albino rats were divided into five groups. Group 1: control group, no special treatment was applied to the rats in this group. Group 2: 1 mg/kg aspirin was administered orally to the rats in this group every day for 28 days. Group 3: 3 mg/kg aspirin was administered orally to rats in this group every three days. Ggroup 4: 5 mg/kg aspirin was administered orally to rats in this group every five days. Group 5: 7 mg/kg aspirin was administered orally to the rats in this group once a week. After fasting overnight following the last application, the rats were sacrificed, and their ovarian tissues were collected. Malondialdehyde, catalase, total thiol group, and AOPP levels were studied from ovarian tissue. Results: Group4 and group5 ovarian tissue MDA levels were found to be significantly higher than the other groups (p<0.05). There was no significant difference between group1, group2 and group3 ovarian tissue MDA levels (p>0.05). Group1 (control group) ovarian tissue AOPP level was found to be significantly lower than all aspirin-administered groups (p<0.05). Group2 ovarian tissue AOPP level was found to be significantly lower than group3, group4 and group5 (p<0.05). TSG level was found to be significantly higher in group 5 when compared to other groups (p0<0.05). Group4 ovarian tissue TSG level was found to be significantly higher when compared to group1, group2 and group3 (p<0.05). Group3 and group4 ovarian tissue CAT activity was found to be significantly higher than group1, group2 and group5 (p<0.05). When group1, group2 and group5 ovarian tissue CAT activities were compared, no significant difference was found (p>0.05). Conclusion: The application of aspirin at certain intervals rather than daily application may have more positive effects on the antioxidant system. especially taking aspirin at intervals of 3 or 5 days may be more effective

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3

Guerboussa, Yassine, and Bounabi Daoud. "Adjoint groups of $p$-nil rings and $p$-group automorphisms." Bulletin of the Belgian Mathematical Society - Simon Stevin 21, no. 2 (May 2014): 339–49. http://dx.doi.org/10.36045/bbms/1400592629.

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4

Park, Hong Goo. "p-groups in the Betti-Mathieu group." Linear Algebra and its Applications 234 (February 1996): 125–35. http://dx.doi.org/10.1016/0024-3795(94)00091-3.

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5

Oort, Frans. "Finite Group Schemes and $p$-Divisible Groups." Notices of the International Congress of Chinese Mathematicians 8, no. 1 (2020): 55–78. http://dx.doi.org/10.4310/iccm.2020.v8.n1.a5.

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6

.A. AWAD, ALAA. "On unit P-Groups in Group Algebra." Journal of University of Anbar for Pure Science 3, no. 1 (April 1, 2009): 135–39. http://dx.doi.org/10.37652/juaps.2009.15512.

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7

Khukhro, E. I., and N. Yu Makarenko. "Finite $p$-groups with a Frobenius group of automorphisms whose kernel is a cyclic $p$-group." Proceedings of the American Mathematical Society 143, no. 5 (January 22, 2015): 1837–48. http://dx.doi.org/10.1090/s0002-9939-2015-12287-3.

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8

Takegahara, Yugen. "Zeta functions of integral group rings of abelian (p,p)-groups." Communications in Algebra 15, no. 12 (January 1987): 2565–615. http://dx.doi.org/10.1080/00927878708823553.

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9

JAIN, VIVEK K., PRADEEP K. RAI, and MANOJ K. YADAV. "ON FINITE p-GROUPS WITH ABELIAN AUTOMORPHISM GROUP." International Journal of Algebra and Computation 23, no. 05 (August 2013): 1063–77. http://dx.doi.org/10.1142/s0218196713500161.

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Анотація:

We construct, for the first time, various types of specific non-special finite p-groups having abelian automorphism group. More specifically, we construct groups G with abelian automorphism group such that γ2(G) < Z(G) < Φ(G), where γ2(G), Z(G) and Φ(G) denote the commutator subgroup, the center and the Frattini subgroup of G respectively. For a finite p-group G with elementary abelian automorphism group, we show that at least one of the following two conditions holds true: (i) Z(G) = Φ(G) is elementary abelian; (ii) γ2(G) = Φ(G) is elementary abelian, where p is an odd prime. We construct examples to show the existence of groups G with elementary abelian automorphism group for which exactly one of the above two conditions holds true.

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10

Kukharev, A. V., and G. E. Puninski. "Serial Group Rings of Finite Groups. p-nilpotency." Journal of Mathematical Sciences 202, no. 3 (September 18, 2014): 422–33. http://dx.doi.org/10.1007/s10958-014-2052-3.

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11

McCool, J. "Virtually-residually-p automorphism groups of group rings." Journal of Algebra 130, no. 1 (April 1990): 106–12. http://dx.doi.org/10.1016/0021-8693(90)90103-u.

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12

Bouc, Serge, and Nadia Mazza. "The Dade group of (almost) extraspecial p-groups." Journal of Pure and Applied Algebra 192, no. 1-3 (September 2004): 21–51. http://dx.doi.org/10.1016/j.jpaa.2004.02.008.

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13

Fuchs, L. "On the automorphism group of abelian $p$-groups." Publicationes Mathematicae Debrecen 7, no. 1-4 (July 1, 2022): 122–29. http://dx.doi.org/10.5486/pmd.1960.7.1-4.11.

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14

Helleloid, Geir T., and Ursula Martin. "The automorphism group of a finite p-group is almost always a p-group." Journal of Algebra 312, no. 1 (June 2007): 294–329. http://dx.doi.org/10.1016/j.jalgebra.2007.01.008.

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15

Rocher, Magali. "Large p-group actions with a p-elementary abelian derived group." Journal of Algebra 321, no. 2 (January 2009): 704–40. http://dx.doi.org/10.1016/j.jalgebra.2008.09.030.

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16

Harris, Morten E. "On Decomposing an Abelian p-Group Under a p?-Operator Group." Algebra Colloquium 7, no. 3 (August 2000): 291–94. http://dx.doi.org/10.1007/s10011-000-0291-y.

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17

Danchev, Peter. "Isomorphism of commutative group algebras of $p$-mixed splitting groups over rings of characteristic zero." Mathematica Bohemica 131, no. 1 (2006): 85–93. http://dx.doi.org/10.21136/mb.2006.134084.

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18

Bouc, Serge, and Nadia Romero. "The Whitehead group of (almost) extra-special p-groups with p odd." Journal of Pure and Applied Algebra 223, no. 1 (January 2019): 86–107. http://dx.doi.org/10.1016/j.jpaa.2018.03.003.

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19

Bouc, Serge. "The Dade group of a p-group." Inventiones mathematicae 164, no. 1 (January 31, 2006): 189–231. http://dx.doi.org/10.1007/s00222-005-0476-6.

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20

Shen, Liang. "P-injective group rings." Czechoslovak Mathematical Journal 70, no. 4 (April 17, 2020): 1103–9. http://dx.doi.org/10.21136/cmj.2020.0159-19.

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21

Markwart, Jens C., and Frederik R. Wurm. "The 2-acetylthioethyl ester group: A versatile protective group for P-OH-groups." Tetrahedron 74, no. 52 (December 2018): 7426–30. http://dx.doi.org/10.1016/j.tet.2018.11.002.

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22

Danchev, Peter. "Isomorphism of commutative group algebras of closed $p$-groups and $p$-local algebraically compact groups." Proceedings of the American Mathematical Society 130, no. 7 (February 12, 2002): 1937–41. http://dx.doi.org/10.1090/s0002-9939-02-06300-1.

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23

Sekiguchi, Katsusuke. "On the automorphism group of the p-adic group ring of a metacyclic p-Group, II." Journal of Algebra 100, no. 1 (April 1986): 191–213. http://dx.doi.org/10.1016/0021-8693(86)90073-6.

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24

Lopes, Jonas Gonçalves. "On strongly associative group algebras of p-solvable groups." Journal of Algebra and Its Applications 14, no. 06 (April 21, 2015): 1550085. http://dx.doi.org/10.1142/s0219498815500851.

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Анотація:

Given a partial action α of a group G on the group algebra FH, where H is a finite group and F is a field whose characteristic p divides the order of H, we investigate the associativity question of the partial crossed product FH *α G. If FH *α G is associative for any G and any α, then FH is called strongly associative. We characterize the strongly associative modular group algebras FH with H being a p-solvable group.

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25

Göbel, Rüdiger, and Warren May. "Modular group algebras of $\aleph _{1}$-separable $p$-groups." Proceedings of the American Mathematical Society 131, no. 10 (January 2, 2003): 2987–92. http://dx.doi.org/10.1090/s0002-9939-03-06818-7.

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26

Sandling, Robert. "The modular group algebra problem for metacyclic $p$-groups." Proceedings of the American Mathematical Society 124, no. 5 (1996): 1347–50. http://dx.doi.org/10.1090/s0002-9939-96-03518-6.

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27

Coşkun, Olcay. "The Dade group of Mackey functors for p-groups." Journal of Algebra 470 (January 2017): 172–96. http://dx.doi.org/10.1016/j.jalgebra.2016.08.040.

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28

KOCH, ALAN, and AUDREY MALAGON. "p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS." Glasgow Mathematical Journal 49, no. 2 (May 2007): 269–79. http://dx.doi.org/10.1017/s0017089507003680.

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Анотація:

AbstractFor a fixed integer e and prime p we construct the p-adic order bounded group valuations for a given abelian group G. These valuations give Hopf orders inside the group ring KG where K is an extension of $\mathbb{Q} _{p}$ with ramification index e. The orders are given explicitly when G is a p-group of order p or p2. An example is given when G is not abelian.

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29

Danchev, Peter V. "Isomorphic Commutative Group Algebras of p-Mixed Warfield Groups." Acta Mathematica Sinica, English Series 21, no. 4 (April 21, 2005): 913–16. http://dx.doi.org/10.1007/s10114-004-0526-9.

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30

Riley, David M. "Analytic pro-p groups and their graded group rings." Journal of Pure and Applied Algebra 90, no. 1 (November 1993): 69–76. http://dx.doi.org/10.1016/0022-4049(93)90137-i.

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31

Fouladi, Shirin. "CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP." Mathematical Researches 7, no. 3 (December 1, 2021): 631–38. http://dx.doi.org/10.52547/mmr.7.3.631.

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32

Leinen, Felix. "Group rings of existentially closed locally finite $p$-groups." Publicationes Mathematicae Debrecen 35, no. 3-4 (July 1, 2022): 289–94. http://dx.doi.org/10.5486/pmd.1988.35.3-4.14.

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33

Dwyer, W. G., and C. W. Wilkerson. "The fundamental group of a p -compact group." Bulletin of the London Mathematical Society 41, no. 3 (March 22, 2009): 385–95. http://dx.doi.org/10.1112/blms/bdn102.

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34

Mazza, Nadia. "The Dade group of a metacyclic p-group." Journal of Algebra 266, no. 1 (August 2003): 102–11. http://dx.doi.org/10.1016/s0021-8693(03)00328-4.

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35

Balogh, Zsolt, and Adalbert Bovdi. "Group algebras with unit group of class $p$." Publicationes Mathematicae Debrecen 65, no. 3-4 (October 1, 2004): 261–68. http://dx.doi.org/10.5486/pmd.2004.3239.

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36

Wee, Hwee, and Gweon-Young Kang. "Addiction Problems, Aggression, and Quality of Life in People with Different Occupations in South Korea." Healthcare 9, no. 2 (February 1, 2021): 141. http://dx.doi.org/10.3390/healthcare9020141.

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Анотація:

Addiction is related to aggression and quality of life. This study examined the relationship between these three factors according to occupation group in a mixed urban/rural area to better understand adult addiction problems. This study was a secondary data analysis of cross-sectional data collected by a 2017 regional survey of adults living in Gunsan City, South Korea. The survey included 500 people split into the unemployed (Group1), full-time homemakers (Group2), and primary (Group3), secondary (Group4), and tertiary (Group5) industry workers. Addiction problems and aggression were positively correlated (p < 0.01). Aggression and alcohol use disorder were correlated in Group3 (r = 0.31), Group4 (r = 0.34), and Group5 (r = 0.32), and aggression and smartphone addiction were correlated in Group2 (r = 0.39) and Group4 (r = 0.31). Problem gambling was correlated with aggression in Group5 (r = 0.39). A negative relationship between quality of life and alcohol use disorder occurred in Group1 (r = −0.36). According to the occupation group, the relationships between addiction problems, aggression, and quality of life were different. These findings suggest that addiction management for adults should be implemented in consideration of occupation groups.

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37

Dario, R. P., and A. J. Engler. "Relative Brauer group and pro-p Galois group of pre-p-henselian fields." Journal of Algebra and Its Applications 14, no. 06 (April 21, 2015): 1550087. http://dx.doi.org/10.1142/s0219498815500875.

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Анотація:

Let p be a prime number and (F, v) a valued field. In this paper, we find a presentation for the p-torsion part of the Brauer group Br (F), by means of the valuation v. We only assume that F has a primitive pth root of the unity and the residue class field has characteristic not equal to p. This result naturally leads to consider valued fields that we call pre-p-henselian fields. It concerns valuations compatible with Rp, the p-radical of the field. To be precise, Rp is the radical of the skew-symmetric pairing which associates to a pair (a, b) the class of the symbol algebra (F; a, b) in Br F. In our main result, we state that pre-p-henselian fields are precisely the fields for which the Galois group of the maximal Galois p-extension admits a particular decomposition as a free pro-p product.

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38

Kahn, Bruno, and Pham Anh Minh. "A description of the second mod p cohomology group of a p-group." Journal of Pure and Applied Algebra 132, no. 1 (October 1998): 73–104. http://dx.doi.org/10.1016/s0022-4049(97)00115-1.

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39

Głowacki, Paweł. "$$L^p$$ L p -Multipliers Sensitive to the Group Structure on Nilpotent Lie Groups." Journal of Fourier Analysis and Applications 25, no. 4 (October 22, 2018): 1632–72. http://dx.doi.org/10.1007/s00041-018-9640-4.

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40

Stolin, Alexander. "On the Picard Group of the Integer Group Ring of the Cyclic p-Group and Certain Galois Groups." Journal of Number Theory 72, no. 1 (September 1998): 48–66. http://dx.doi.org/10.1006/jnth.1998.2254.

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41

Alessandri-Gradt, Elodie, Fabienne De Oliveira, Marie Leoz, Véronique Lemee, David L. Robertson, Felix Feyertag, Paul-Alain Ngoupo, Philippe Mauclere, François Simon, and Jean-Christophe Plantier. "HIV-1 group P infection." AIDS 32, no. 10 (June 2018): 1317–22. http://dx.doi.org/10.1097/qad.0000000000001791.

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42

O'Brien, E. A. "The p-group generation algorithm." Journal of Symbolic Computation 9, no. 5-6 (May 1990): 677–98. http://dx.doi.org/10.1016/s0747-7171(08)80082-x.

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43

Levi, Ran, and Kári Ragnarsson. "$p$-local finite group cohomology." Homology, Homotopy and Applications 13, no. 1 (2011): 223–57. http://dx.doi.org/10.4310/hha.2011.v13.n1.a9.

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44

Chu, Huah, and Ming-chang Kang. "Rationality of P-Group Actions." Journal of Algebra 237, no. 2 (March 2001): 673–90. http://dx.doi.org/10.1006/jabr.2000.8615.

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45

Thompson, Gary. "Subgroup Rigidity in Finite Dimensional Group Algebras Over p-Groups." Transactions of the American Mathematical Society 341, no. 1 (January 1994): 423. http://dx.doi.org/10.2307/2154630.

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46

Thompson, Gary. "Subgroup rigidity in finite-dimensional group algebras over $p$-groups." Transactions of the American Mathematical Society 341, no. 1 (January 1, 1994): 423–47. http://dx.doi.org/10.1090/s0002-9947-1994-1132878-2.

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47

Danchev, P. V. "Torsion Completeness of Sylow p-Groups in Semisimple Group Rings." Acta Mathematica Sinica, English Series 20, no. 5 (June 21, 2004): 893–98. http://dx.doi.org/10.1007/s10114-003-0304-0.

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48

Bagiński, C., and A. Caranti. "The Modular Group Algebras of P-Groups of Maximal Class." Canadian Journal of Mathematics 40, no. 6 (December 1, 1988): 1422–35. http://dx.doi.org/10.4153/cjm-1988-065-2.

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Анотація:

The isomorphism problem for modular group algebras of finite p-groups appears to be still far from a solution (see [7] for a survey of the existing results). It is therefore of interest to investigate the problem for special classes of groups.The groups we consider here are the p-groups of maximal class, which were extensively studied by Blackburn [1]. In this paper we solve the modular isomorphism problem for such groups of order not larger than pp+1, having an abelian maximal subgroup, for odd primes p.What we in fact do is to generalize methods used by Passman [5] to solve the isomorphism problem for groups of order p4. In Passman's paper the case of groups of maximal class is actually the most difficult one.

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49

González, M., and J. Otal. "P. Hall's covering group and embeddings of countable cc-groups." Communications in Algebra 18, no. 10 (January 1990): 3405–12. http://dx.doi.org/10.1080/00927879008824081.

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50

Ardakov, Konstantin. "The centre of completed group algebras of pro-$p$ groups." Documenta Mathematica 9 (2004): 599–606. http://dx.doi.org/10.4171/dm/179.

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