Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 153-159
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A. A. Makhnev. Groups with a centralizer of sixth order. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 153-159. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a17/
@article{MZM_1977_22_1_a17,
author = {A. A. Makhnev},
title = {Groups with a centralizer of sixth order},
journal = {Matemati\v{c}eskie zametki},
pages = {153--159},
year = {1977},
volume = {22},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a17/}
}
TY - JOUR
AU - A. A. Makhnev
TI - Groups with a centralizer of sixth order
JO - Matematičeskie zametki
PY - 1977
SP - 153
EP - 159
VL - 22
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a17/
LA - ru
ID - MZM_1977_22_1_a17
ER -
%0 Journal Article
%A A. A. Makhnev
%T Groups with a centralizer of sixth order
%J Matematičeskie zametki
%D 1977
%P 153-159
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a17/
%G ru
%F MZM_1977_22_1_a17
Let $G$ be a finite fusion-simple group with a self-centralizing subgroup $A$ of sixth order. It is proved that if the centralizer of the involution from $A$ is an unsolvable subgroup of $G$ of an odd index, then $G$ is isomorphic with the Janko group $J_1$.
