# Locally soluble groups with all nontrivial normal subgroups isomorphic.

John C. Lennox; Howard Smith; James Wiegold

Publicacions Matemàtiques (1994)

- Volume: 38, Issue: 1, page 203-205
- ISSN: 0214-1493

## Access Full Article

top## Abstract

top## How to cite

topLennox, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.