The determination of abelian Hall subgroups by a conjugacy class structure.

Wolfgang Kimmerle; Robert Sandling

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2A, page 685-691
  • ISSN: 0214-1493

Abstract

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The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.

How to cite

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Kimmerle, Wolfgang, and Sandling, Robert. "The determination of abelian Hall subgroups by a conjugacy class structure.." Publicacions Matemàtiques 36.2A (1992): 685-691. <http://eudml.org/doc/41745>.

@article{Kimmerle1992,
abstract = {The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.},
author = {Kimmerle, Wolfgang, Sandling, Robert},
journal = {Publicacions Matemàtiques},
keywords = {conjugacy class structure; finite groups; Abelian Hall subgroups},
language = {eng},
number = {2A},
pages = {685-691},
title = {The determination of abelian Hall subgroups by a conjugacy class structure.},
url = {http://eudml.org/doc/41745},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Kimmerle, Wolfgang
AU - Sandling, Robert
TI - The determination of abelian Hall subgroups by a conjugacy class structure.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 685
EP - 691
AB - The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.
LA - eng
KW - conjugacy class structure; finite groups; Abelian Hall subgroups
UR - http://eudml.org/doc/41745
ER -

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