Sibirsk. Mat. Zh., 2021 Volume 62, Number 6, Pages 1215–1230
(Mi smj7624)
This article is cited in
2 papers
Finite groups with prescribed $\Phi$ -simple maximal subgroups E. N. Bazhanova ,
V. A. Vedernikov Moscow City Teachers' Training University,
Digital Education Institute, Moscow, Russia Abstract:
Given
$r\in \{2,3,5\}$ , we study the structure of finite non-
$r$ -decomposable groups whose every non-
$r$ -decomposable maximal subgroup is a
$\Phi$ -simple group.
Keywords:
finite non-$r$ -solvable group, maximal subgroup, $\Phi$ -simple group, $r$ -nilpotent subgroup, $r$ -decomposable group, Schmidt group, Frattini subgroup.
UDC:
517.542
MSC: 35R30 Received: 10.02.2021
Revised: 12.06.2021
Accepted: 11.08.2021
DOI:
10.33048/smzh.2021.62.602
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