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// Matematicheskie Zametki
// Archive
Mat. Zametki,
1973
Volume 14,
Issue 3,
Pages
429–439
(Mi mzm7273)
This article is cited in
7
papers
On the intersection of maximal subgroups in finite groups
V. V. Shlyk
Institute of Mathematics, Academy of Sciences Byelorussian SSR
Abstract:
The intersections of maximal subgroups of a definite kind in finite groups are investigated. In particular, it is proved that the intersection of all noninvariant nonnilpotent maximal subgroups is nilpotent in a finite nonsolvable group.
UDC:
519.4
Received:
30.10.1972
Fulltext:
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English version:
Mathematical Notes, 1973,
14
:3,
804–809
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