Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 285-295
Citer cet article
V. S. Monakhov. The product of two groups, one of which contains a cyclic subgroup of index $\le2$. Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 285-295. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a12/
@article{MZM_1974_16_2_a12,
author = {V. S. Monakhov},
title = {The product of two groups, one of which contains a~cyclic subgroup of index $\le2$},
journal = {Matemati\v{c}eskie zametki},
pages = {285--295},
year = {1974},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a12/}
}
TY - JOUR
AU - V. S. Monakhov
TI - The product of two groups, one of which contains a cyclic subgroup of index $\le2$
JO - Matematičeskie zametki
PY - 1974
SP - 285
EP - 295
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a12/
LA - ru
ID - MZM_1974_16_2_a12
ER -
%0 Journal Article
%A V. S. Monakhov
%T The product of two groups, one of which contains a cyclic subgroup of index $\le2$
%J Matematičeskie zametki
%D 1974
%P 285-295
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a12/
%G ru
%F MZM_1974_16_2_a12
We prove that a finite group $G=A\cdot B$ is solvable if the groups $A$ and $B$ contain cyclic subgroups with indices $\le2$. We provide a description of two classes of nonsolvable factorizable groups.
