Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.

@article{Otal1988,
abstract = {In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity criteria for the groups under consideration. We obtain some of such criteria as a consequence of the main result of the paper and the classification of finite simple groups.},
author = {Otal, Javier, Peña, Juan Manuel},
journal = {Publicacions Matemàtiques},
keywords = {Grupos localmente finitos; Grupos de Cernikov; infinite simple locally finite group; locally finite minimal non-X groups; infinite locally finite field; Chernikov classes; Chernikov-by- hypocentral groups; hypercentral-by-Chernikov groups},
language = {eng},
number = {1},
pages = {43-47},
title = {Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.},
url = {http://eudml.org/doc/41021},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Otal, Javier
AU - Peña, Juan Manuel
TI - Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 1
SP - 43
EP - 47
AB - In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity criteria for the groups under consideration. We obtain some of such criteria as a consequence of the main result of the paper and the classification of finite simple groups.
LA - eng
KW - Grupos localmente finitos; Grupos de Cernikov; infinite simple locally finite group; locally finite minimal non-X groups; infinite locally finite field; Chernikov classes; Chernikov-by- hypocentral groups; hypercentral-by-Chernikov groups
UR - http://eudml.org/doc/41021
ER -