Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 127-132
Citer cet article
V. V. Kabanov; V. D. Mazurov; S. A. Syskin. Finite simple groups whose Sylow 2-subgroups possess an extra-special subgroup of index 2. Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 127-132. http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a16/
@article{MZM_1973_14_1_a16,
author = {V. V. Kabanov and V. D. Mazurov and S. A. Syskin},
title = {Finite simple groups whose {Sylow} 2-subgroups possess an extra-special subgroup of index 2},
journal = {Matemati\v{c}eskie zametki},
pages = {127--132},
year = {1973},
volume = {14},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a16/}
}
TY - JOUR
AU - V. V. Kabanov
AU - V. D. Mazurov
AU - S. A. Syskin
TI - Finite simple groups whose Sylow 2-subgroups possess an extra-special subgroup of index 2
JO - Matematičeskie zametki
PY - 1973
SP - 127
EP - 132
VL - 14
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a16/
LA - ru
ID - MZM_1973_14_1_a16
ER -
%0 Journal Article
%A V. V. Kabanov
%A V. D. Mazurov
%A S. A. Syskin
%T Finite simple groups whose Sylow 2-subgroups possess an extra-special subgroup of index 2
%J Matematičeskie zametki
%D 1973
%P 127-132
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a16/
%G ru
%F MZM_1973_14_1_a16
Let $G$ be a finite simple group with Sylow 2-subgroup $T$. If there is an extra-special sub-group of index 2 in $T$, then $G$ is isomorphic to one of the following groups: $$\begin{array}{llllll} A_8,&A_9,&M_{11},&M_{12}\\ L_2(q),&L_3(q),&U_3(q),&G_2(q),&D_4^2(q),&PSp_4(q) \end{array}$$ for an appropriate odd $q$.
