Algebra i logika, Tome 6 (1967) no. 3, pp. 113-124
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V. P. Shunkov. A generalization of the theorem of Frobenius on periodic groups. Algebra i logika, Tome 6 (1967) no. 3, pp. 113-124. http://geodesic.mathdoc.fr/item/AL_1967_6_3_a12/
@article{AL_1967_6_3_a12,
author = {V. P. Shunkov},
title = {A generalization of the theorem of {Frobenius} on periodic groups},
journal = {Algebra i logika},
pages = {113--124},
year = {1967},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_1967_6_3_a12/}
}
TY - JOUR
AU - V. P. Shunkov
TI - A generalization of the theorem of Frobenius on periodic groups
JO - Algebra i logika
PY - 1967
SP - 113
EP - 124
VL - 6
IS - 3
UR - http://geodesic.mathdoc.fr/item/AL_1967_6_3_a12/
LA - ru
ID - AL_1967_6_3_a12
ER -
%0 Journal Article
%A V. P. Shunkov
%T A generalization of the theorem of Frobenius on periodic groups
%J Algebra i logika
%D 1967
%P 113-124
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/AL_1967_6_3_a12/
%G ru
%F AL_1967_6_3_a12
The well-known theorem of Frobenius is transferred on any periodic group $G$ with a finite subgroup $H$ of the even order which contains involutions, coincides with its normalizator and is coprime with its conjugated subgroups.