On subgroups of ZJ type of an F-injector for Fitting classes F between Ep*p and Ep*Sp.

Ana Martínez Pastor

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 2, page 411-425
  • ISSN: 0214-1493

Abstract

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Let G be a finite group and p a prime. We consider an F-injector K of G, being F a Fitting class between Ep*p y Ep*Sp, and we study the structure and normality in G of the subgroups ZJ(K) and ZJ*(K), provided that G verifies certain conditions, extending some results of G. Glauberman (A characteristic subgroup of a p-stable group, Canad. J. Math.20(1968), 555-564).

How to cite

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Martínez Pastor, Ana. "On subgroups of ZJ type of an F-injector for Fitting classes F between Ep*p and Ep*Sp.." Publicacions Matemàtiques 38.2 (1994): 411-425. <http://eudml.org/doc/41180>.

@article{MartínezPastor1994,
abstract = {Let G be a finite group and p a prime. We consider an F-injector K of G, being F a Fitting class between Ep*p y Ep*Sp, and we study the structure and normality in G of the subgroups ZJ(K) and ZJ*(K), provided that G verifies certain conditions, extending some results of G. Glauberman (A characteristic subgroup of a p-stable group, Canad. J. Math.20(1968), 555-564).},
author = {Martínez Pastor, Ana},
journal = {Publicacions Matemàtiques},
keywords = {Grupos resolubles finitos; Familias de subgrupos; Módulos inyectivos; Fitting classes; finite groups; conjugacy class of injectors; -stable groups; Thompson subgroup; Glauberman -theorem},
language = {eng},
number = {2},
pages = {411-425},
title = {On subgroups of ZJ type of an F-injector for Fitting classes F between Ep*p and Ep*Sp.},
url = {http://eudml.org/doc/41180},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Martínez Pastor, Ana
TI - On subgroups of ZJ type of an F-injector for Fitting classes F between Ep*p and Ep*Sp.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 2
SP - 411
EP - 425
AB - Let G be a finite group and p a prime. We consider an F-injector K of G, being F a Fitting class between Ep*p y Ep*Sp, and we study the structure and normality in G of the subgroups ZJ(K) and ZJ*(K), provided that G verifies certain conditions, extending some results of G. Glauberman (A characteristic subgroup of a p-stable group, Canad. J. Math.20(1968), 555-564).
LA - eng
KW - Grupos resolubles finitos; Familias de subgrupos; Módulos inyectivos; Fitting classes; finite groups; conjugacy class of injectors; -stable groups; Thompson subgroup; Glauberman -theorem
UR - http://eudml.org/doc/41180
ER -

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