The nilpotency of some groups with all subgroups subnormal.

Kurdachenko, Leonid A., and Smith, Howard. "The nilpotency of some groups with all subgroups subnormal.." Publicacions Matemàtiques 42.2 (1998): 411-421. <http://eudml.org/doc/41347>.

@article{Kurdachenko1998,
abstract = {Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.},
author = {Kurdachenko, Leonid A., Smith, Howard},
journal = {Publicacions Matemàtiques},
keywords = {Grupo nilpotente; Criterio minimax; Familias de subgrupos; Clausura normal; subnormal subgroups; minimax groups; nilpotency},
language = {eng},
number = {2},
pages = {411-421},
title = {The nilpotency of some groups with all subgroups subnormal.},
url = {http://eudml.org/doc/41347},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Kurdachenko, Leonid A.
AU - Smith, Howard
TI - The nilpotency of some groups with all subgroups subnormal.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 2
SP - 411
EP - 421
AB - Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if it has a finite G-invariant series whose factors are abelian and satisfy either max-G or min- G. It is proved that if the normal closure of every element of G is G-minimax then G is nilpotent and the normal closure of every element is minimax. Further results of this type are also obtained.
LA - eng
KW - Grupo nilpotente; Criterio minimax; Familias de subgrupos; Clausura normal; subnormal subgroups; minimax groups; nilpotency
UR - http://eudml.org/doc/41347
ER -