Some questions on quasinilpotent groups and related classes.

Iranzo, M.J., Medina, J., and Pérez-Monasor, F.. "Some questions on quasinilpotent groups and related classes.." Revista Matemática Iberoamericana 18.3 (2002): 747-759. <http://eudml.org/doc/39702>.

@article{Iranzo2002,
abstract = {In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).},
author = {Iranzo, M.J., Medina, J., Pérez-Monasor, F.},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoría de grupos; Grupo nilpotente; Grupos resolubles finitos; quasinilpotent groups; generalised Fitting subgroup},
language = {eng},
number = {3},
pages = {747-759},
title = {Some questions on quasinilpotent groups and related classes.},
url = {http://eudml.org/doc/39702},
volume = {18},
year = {2002},
}

TY - JOUR
AU - Iranzo, M.J.
AU - Medina, J.
AU - Pérez-Monasor, F.
TI - Some questions on quasinilpotent groups and related classes.
JO - Revista Matemática Iberoamericana
PY - 2002
VL - 18
IS - 3
SP - 747
EP - 759
AB - In this paper we will prove that if G is a finite group, X a subnormal subgroup of X F*(G) such that X F*(G) is quasinilpotent and Y is a quasinilpotent subgroup of NG(X), then Y F*(NG(X)) is quasinilpotent if and only if Y F*(G) is quasinilpotent. Also we will obtain that F*(G) controls its own fusion in G if and only if G = F*(G).
LA - eng
KW - Teoría de grupos; Grupo nilpotente; Grupos resolubles finitos; quasinilpotent groups; generalised Fitting subgroup
UR - http://eudml.org/doc/39702
ER -