Relevant bibliographies by topics / Π-separable groups

Academic literature on the topic 'Π-separable groups'

Author: Grafiati
Published: 10 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Contents

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Π-separable groups.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Π-separable groups"

1

Berkovich, Yakov. "On π-Separable Groups." Journal of Algebra 186, no. 1 (November 1996): 120–31. http://dx.doi.org/10.1006/jabr.1996.0366.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Laradji, A. "Relative π-Blocks of π-Separable Groups." Journal of Algebra 220, no. 2 (October 1999): 449–65. http://dx.doi.org/10.1006/jabr.1999.7945.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Laradji, A. "Relative π-Blocks of π-Separable Groups, II." Journal of Algebra 237, no. 2 (March 2001): 521–32. http://dx.doi.org/10.1006/jabr.2000.8575.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Si, Huabin, and Jiwen Zeng. "The Character Correspondences on π-Separable Groups." Algebra Colloquium 19, no. 03 (July 5, 2012): 501–8. http://dx.doi.org/10.1142/s1005386712000363.

Full text
Abstract:
In this paper, we mainly consider the relationship between the complex irreducible characters of a π-separable group and the complex irreducible characters of its Hall π-subgroup. If a π-group S acts on a π-separable group G, let H be an S-invariant Hall π-subgroup of G and CNG(H)/H(S)=1. Then we construct a natural bijection from the set Lin S(H) onto the set Irr π′,S(G). Furthermore, we get a bijection from the linear characters of H onto Irr π′(G).
APA, Harvard, Vancouver, ISO, and other styles
5

Iranzo, M. J., F. Pérez Monasor, and J. Medina. "ARITHMETICAL QUESTIONS IN π-SEPARABLE GROUPS." Communications in Algebra 33, no. 8 (July 2005): 2713–16. http://dx.doi.org/10.1081/agb-200063998.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Du, Zhaowei. "Hall Subgroups and π-Separable Groups." Journal of Algebra 195, no. 2 (September 1997): 501–9. http://dx.doi.org/10.1006/jabr.1997.7034.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Isaacs, I. M. "Fong characters in π-separable groups." Journal of Algebra 99, no. 1 (March 1986): 89–107. http://dx.doi.org/10.1016/0021-8693(86)90056-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Wolf, Thomas R. "Character Correspondences and π-Special Characters in π-Separable Groups." Canadian Journal of Mathematics 39, no. 4 (August 1, 1987): 920–37. http://dx.doi.org/10.4153/cjm-1987-046-1.

Full text
Abstract:
Let π be a set of primes and let G be a π-separable group (all groups considered are finite). Two subsets Xπ(G) and Bπ(G) of the set Irr(G) of irreducible characters of G play an important role in the character theory of π-separable groups and particularly solvable groups. If p is prime and π is the set of all other primes, then the Bπ characters of G give a natural one-to-one lift of the Brauer characters of G into Irr(G). More generally, they have been used to define Brauer characters for sets of primes.The π-special characters of G (i.e., Xπ(G)) restrict irreducibly and in a one-to-one fashion to a Hall-π-subgroup of G. If an irreducible character χ is quasi-primitive, it factors uniquely as a product of a π-special character an a π′-special character. This is a particularly useful tool in solvable groups.
APA, Harvard, Vancouver, ISO, and other styles
9

Grittini, Nicola. "Character degrees in 𝜋-separable groups." Journal of Group Theory 23, no. 6 (November 1, 2020): 1069–80. http://dx.doi.org/10.1515/jgth-2019-0186.

Full text
Abstract:
AbstractIf a group G is π-separable, where π is a set of primes, the set of irreducible characters {\operatorname{B}_{\pi}(G)\cup\operatorname{B}_{\pi^{\prime}}(G)} can be defined. In this paper, we prove variants of some classical theorems in character theory, namely the theorem of Ito–Michler and Thompson’s theorem on character degrees, involving irreducible characters in the set {\operatorname{B}_{\pi}(G)\cup\operatorname{B}_{\pi^{\prime}}(G)}.
APA, Harvard, Vancouver, ISO, and other styles
10

Isaacs, I. M. "Extensions of characters from Hall π-subgroups of π-separable groups." Proceedings of the Edinburgh Mathematical Society 28, no. 3 (October 1985): 313–17. http://dx.doi.org/10.1017/s0013091500017120.

Full text
Abstract:
The main result of this paper is the followingTheorem A. Let G be a π-separable finite group with Hall πsubgroup H. Suppose θεIrr(H). Then there exists a unique subgroup M, maximal with the property that it contains H and θ can be extended to a character of M.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Π-separable groups"

1

Pimenidou, Irini. "On the theory of characters of π-separable groups." Thesis, University of Warwick, 1988. http://wrap.warwick.ac.uk/102041/.

Full text
Abstract:
In this thesis we demonstrate the existence of certain Fong characters that behave well with respect to subnormal subgroups of a π-separable group G, thereby answering a question of I. M. Isaacs. We also prove that any π-separable group G has a set of X-injectors, where X is the class of groups that can be written as the direct product of their Hall π- and Hall π'- subgroups. Further we prove that for all χ ε Irr(G) there exist a unique normal subgroup FN(χ) of G which is maximal with the property that every irreducible constituent of χFN(χ) is π-factorable. We then show that ȠFN(χ) = Gx, where Gx is the X-radical of G. Finally we construct a set χεIrr(G).
APA, Harvard, Vancouver, ISO, and other styles
2

Grittini, Nicola. "Properties of characters of π-separable groups." Doctoral thesis, 2020. http://hdl.handle.net/2158/1278339.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Π-separable groups"

1

Isaacs, I. M. "Partial characters of π-separable groups." In Representation Theory of Finite Groups and Finite-Dimensional Algebras, 273–87. Basel: Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-8658-1_10.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Π-separable groups' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography