Relevant bibliographies by topics / Soluble groups][Automorphisms

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Soluble groups][Automorphisms'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Soluble groups][Automorphisms"

1

Flavell, Paul. "Automorphisms of soluble groups." Proceedings of the London Mathematical Society 112, no. 4 (April 2016): 623–50. http://dx.doi.org/10.1112/plms/pdw005.

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2

Gromadzki, Grzegorz. "On Soluble Groups of Automorphism of Riemann Surfaces." Canadian Mathematical Bulletin 34, no. 1 (March 1, 1991): 67–73. http://dx.doi.org/10.4153/cmb-1991-011-x.

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AbstractLet G be a soluble group of derived length 3. We show in this paper that if G acts as an automorphism group on a compact Riemann surface of genus g ≠ 3,5,6,10 then it has at most 24(g — 1) elements. Moreover, given a positive integer n we show the existence of a Riemann surface of genus g = n4 + 1 that admits such a group of automorphisms of order 24(g — 1), whilst a surface of specified genus can admit such a group of automorphisms of order 48(g — 1), 40(g — 1), 30(g — 1) and 36(g — 1) respectively.
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Endimioni, Gérard. "Polynomial Automorphisms of Soluble Groups." Communications in Algebra 37, no. 10 (October 9, 2009): 3388–400. http://dx.doi.org/10.1080/00927870802502837.

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4

Smith, Michael J. "Computing automorphisms of finite soluble groups." Bulletin of the Australian Mathematical Society 53, no. 1 (February 1996): 169–71. http://dx.doi.org/10.1017/s0004972700016841.

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ENDIMIONI, GÉRARD. "NORMAL AUTOMORPHISMS OF A FREE METABELIAN NILPOTENT GROUP." Glasgow Mathematical Journal 52, no. 1 (December 4, 2009): 169–77. http://dx.doi.org/10.1017/s0017089509990267.

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AbstractAn automorphism φ of a group G is said to be normal if φ(H) = H for each normal subgroup H of G. These automorphisms form a group containing the group of inner automorphisms. When G is a non-abelian free (or free soluble) group, it is known that these groups of automorphisms coincide, but this is not always true when G is a free metabelian nilpotent group. The aim of this paper is to determine the group of normal automorphisms in this last case.
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Shumyatsky, P. "Involutory Automorphisms of Locally Soluble Periodic Groups." Journal of Algebra 155, no. 1 (February 1993): 36–43. http://dx.doi.org/10.1006/jabr.1993.1030.

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Bastos, Raimundo, Alex C. Dantas, and Emerson de Melo. "Soluble groups with few orbits under automorphisms." Geometriae Dedicata 209, no. 1 (March 17, 2020): 119–23. http://dx.doi.org/10.1007/s10711-020-00525-7.

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Wehrfritz, B. A. F. "Almost fixed-point-free automorphisms of soluble groups." Journal of Pure and Applied Algebra 215, no. 5 (May 2011): 1112–15. http://dx.doi.org/10.1016/j.jpaa.2010.07.017.

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9

Gromadzki, G. "On soluble groups of automorphisms of nonorientable Klein surfaces." Fundamenta Mathematicae 141, no. 3 (1992): 215–27. http://dx.doi.org/10.4064/fm-141-3-215-227.

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Wehrfritz, Bertram A. F. "On soluble groups of module automorphisms of finite rank." Czechoslovak Mathematical Journal 67, no. 3 (August 9, 2017): 809–18. http://dx.doi.org/10.21136/cmj.2017.0193-16.

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Dissertations / Theses on the topic "Soluble groups][Automorphisms"

1

McIver, A. "Finitely generated non-Hopf models." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.235060.

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Book chapters on the topic "Soluble groups][Automorphisms"

1

Heineken, Hermann. "Soluble irreducible groups of automorphisms of certain groups of class two." In Lecture Notes in Mathematics, 65–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078691.

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"Nilpotent and soluble groups." In p-Automorphisms of Finite p-Groups, 36–50. Cambridge University Press, 1998. http://dx.doi.org/10.1017/cbo9780511526008.005.

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Journal articles
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