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

Otal, Javier, and Peña, Juan Manuel. "Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.." Publicacions Matemàtiques 32.1 (1988): 43-47. <http://eudml.org/doc/41021>.

@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 -