On finite soluble groups verifying an extremal condition on subgroups.

Fernando Tuccillo

Collectanea Mathematica (1991)

  • Volume: 42, Issue: 2, page 163-169
  • ISSN: 0010-0757

Abstract

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We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.

How to cite

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Tuccillo, Fernando. "On finite soluble groups verifying an extremal condition on subgroups.." Collectanea Mathematica 42.2 (1991): 163-169. <http://eudml.org/doc/42485>.

@article{Tuccillo1991,
abstract = {We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.},
author = {Tuccillo, Fernando},
journal = {Collectanea Mathematica},
keywords = {Teoría de grupos; Grupos topológicos; Subgrupos; Algebra de grupo; finite soluble group; non-nilpotent subgroup; Fitting subgroup; Sylow subgroups},
language = {eng},
number = {2},
pages = {163-169},
title = {On finite soluble groups verifying an extremal condition on subgroups.},
url = {http://eudml.org/doc/42485},
volume = {42},
year = {1991},
}

TY - JOUR
AU - Tuccillo, Fernando
TI - On finite soluble groups verifying an extremal condition on subgroups.
JO - Collectanea Mathematica
PY - 1991
VL - 42
IS - 2
SP - 163
EP - 169
AB - We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.
LA - eng
KW - Teoría de grupos; Grupos topológicos; Subgrupos; Algebra de grupo; finite soluble group; non-nilpotent subgroup; Fitting subgroup; Sylow subgroups
UR - http://eudml.org/doc/42485
ER -

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