Locally soluble groups with all nontrivial normal subgroups isomorphic.

Lennox, John C., Smith, Howard, and Wiegold, James. "Locally soluble groups with all nontrivial normal subgroups isomorphic.." Publicacions Matemàtiques 38.1 (1994): 203-205. <http://eudml.org/doc/41196>.

@article{Lennox1994,
abstract = {Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.},
author = {Lennox, John C., Smith, Howard, Wiegold, James},
journal = {Publicacions Matemàtiques},
keywords = {Isomorfismo; Grupos localmente resolubles; Grupo nilpotente; isomorphic to normal subgroups; finitely generated infinite groups; locally soluble groups; finite -rank},
language = {eng},
number = {1},
pages = {203-205},
title = {Locally soluble groups with all nontrivial normal subgroups isomorphic.},
url = {http://eudml.org/doc/41196},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Lennox, John C.
AU - Smith, Howard
AU - Wiegold, James
TI - Locally soluble groups with all nontrivial normal subgroups isomorphic.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 1
SP - 203
EP - 205
AB - Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.
LA - eng
KW - Isomorfismo; Grupos localmente resolubles; Grupo nilpotente; isomorphic to normal subgroups; finitely generated infinite groups; locally soluble groups; finite -rank
UR - http://eudml.org/doc/41196
ER -