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Finite groups with given properties of critical subgroups

✍ Scribed by Semenchuk, V. N.; Velesnitskiĭ, V. F.

Book ID: 124084129
Publisher: SP MAIK Nauka/Interperiodica
Year: 2014
Tongue: English
Weight: 152 KB
Volume: 55
Category: Article
ISSN: 0037-4466
DOI: 10.1134/S0037446614020177

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## Abstract Let __X__ be a nonempty subset of a group __G__. We call a subgroup __A__ of __G__ an __X__~__m__~‐__semipermutable__ subgroup of __G__ if __A__ has a minimal supplement __T__ in __G__ such that for every maximal subgroup __M__ of any Hall subgroup __T__~1~ of __T__ there exists an elem