Periodic Shunkov's groups saturated by the direct products of an elementary abelian 2-groups and a simple groups $L_2 (2^m)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 558-561
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Let $G$ be a periodic Shunkov's group containing an involution. It is proved that if every finite subgroup from $G$ of even order is contained in a subgroup, which is isomorphic to the direct product of an elementary abelian 2-group and a group $L_2 (2^m)$ for some $m \geq 2$, that $G \simeq L_2 (Q) \times V$, where $Q$ is some locally finite field of characteristic 2 and $V$ is a group of period 2.
Keywords:
periodic Shunkov's group
Mots-clés : saturation.
Mots-clés : saturation.
@article{SEMR_2013_10_a16,
author = {A. A. Duzh},
title = {Periodic {Shunkov's} groups saturated by the direct products of an elementary abelian 2-groups and a simple groups $L_2 (2^m)$},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {558--561},
year = {2013},
volume = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a16/}
}
TY - JOUR AU - A. A. Duzh TI - Periodic Shunkov's groups saturated by the direct products of an elementary abelian 2-groups and a simple groups $L_2 (2^m)$ JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2013 SP - 558 EP - 561 VL - 10 UR - http://geodesic.mathdoc.fr/item/SEMR_2013_10_a16/ LA - ru ID - SEMR_2013_10_a16 ER -
%0 Journal Article %A A. A. Duzh %T Periodic Shunkov's groups saturated by the direct products of an elementary abelian 2-groups and a simple groups $L_2 (2^m)$ %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2013 %P 558-561 %V 10 %U http://geodesic.mathdoc.fr/item/SEMR_2013_10_a16/ %G ru %F SEMR_2013_10_a16
A. A. Duzh. Periodic Shunkov's groups saturated by the direct products of an elementary abelian 2-groups and a simple groups $L_2 (2^m)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 558-561. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a16/
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