Groups, saturated with direct products of the finite simple nonabelian groups
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 123-126
Voir la notice de l'article provenant de la source Math-Net.Ru
In work it is proved, that the periodic group saturated by one group, which is the direct product of finite simple nonabelian groups, is finite, with condition that the centralizer of a Sylow $2$-subgroup of each factor of the direct product doesn’t contain elements of odd order.
Keywords:
the periodic group, the direct product of groups
Mots-clés : saturation.
Mots-clés : saturation.
@article{VNGU_2012_12_2_a10,
author = {I. V. Sabodakh and A. A. Shlepkin},
title = {Groups, saturated with direct products of the finite simple nonabelian groups},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {123--126},
publisher = {mathdoc},
volume = {12},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a10/}
}
TY - JOUR AU - I. V. Sabodakh AU - A. A. Shlepkin TI - Groups, saturated with direct products of the finite simple nonabelian groups JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2012 SP - 123 EP - 126 VL - 12 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a10/ LA - ru ID - VNGU_2012_12_2_a10 ER -
%0 Journal Article %A I. V. Sabodakh %A A. A. Shlepkin %T Groups, saturated with direct products of the finite simple nonabelian groups %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2012 %P 123-126 %V 12 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a10/ %G ru %F VNGU_2012_12_2_a10
I. V. Sabodakh; A. A. Shlepkin. Groups, saturated with direct products of the finite simple nonabelian groups. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 123-126. http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a10/