Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 277-283
Citer cet article
A. V. Korlyukov. On Burnside's $p^\alpha q^\beta$ theorem. Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 277-283. http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a9/
@article{MZM_1975_17_2_a9,
author = {A. V. Korlyukov},
title = {On {Burnside's} $p^\alpha q^\beta$ theorem},
journal = {Matemati\v{c}eskie zametki},
pages = {277--283},
year = {1975},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a9/}
}
TY - JOUR
AU - A. V. Korlyukov
TI - On Burnside's $p^\alpha q^\beta$ theorem
JO - Matematičeskie zametki
PY - 1975
SP - 277
EP - 283
VL - 17
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a9/
LA - ru
ID - MZM_1975_17_2_a9
ER -
%0 Journal Article
%A A. V. Korlyukov
%T On Burnside's $p^\alpha q^\beta$ theorem
%J Matematičeskie zametki
%D 1975
%P 277-283
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a9/
%G ru
%F MZM_1975_17_2_a9
We study finite groups whose conjugate element classes have dimensions of the form $p^\alpha q^\beta$. We prove that the factors of the composition series of any such group either are cyclic or are isomorphic to one of the groups PSL(2, 4), PSL(2, 8).
