Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 39-44
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A. N. Fomin. Periodic groups whose maximal abelian subgroups are either invariant or else invariantly complemented. Matematičeskie zametki, Tome 3 (1968) no. 1, pp. 39-44. http://geodesic.mathdoc.fr/item/MZM_1968_3_1_a4/
@article{MZM_1968_3_1_a4,
author = {A. N. Fomin},
title = {Periodic groups whose maximal abelian subgroups are either invariant or else invariantly complemented},
journal = {Matemati\v{c}eskie zametki},
pages = {39--44},
year = {1968},
volume = {3},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_1_a4/}
}
TY - JOUR
AU - A. N. Fomin
TI - Periodic groups whose maximal abelian subgroups are either invariant or else invariantly complemented
JO - Matematičeskie zametki
PY - 1968
SP - 39
EP - 44
VL - 3
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_1_a4/
LA - ru
ID - MZM_1968_3_1_a4
ER -
%0 Journal Article
%A A. N. Fomin
%T Periodic groups whose maximal abelian subgroups are either invariant or else invariantly complemented
%J Matematičeskie zametki
%D 1968
%P 39-44
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_1_a4/
%G ru
%F MZM_1968_3_1_a4
In this paper we show that groups, all of whose maximal abelian subgroups are either normal or have a normal complement, are solvable and their degree of solvability is not higher than four. Periodic groups with the above property are locally finite. For a short description of these groups, see [5].