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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2007 Volume 13, Number 1, Pages 191–196 (Mi timm82)

The influence of $s$-semipermutable subgroups on the structure of finite groups

Na Tang, Wenbin Guo, V. V. Kabanov


Abstract: A subgroup $H$ of a group $G$ is called $s$-semipermutable in $G$ if $H$ is permutable with every Sylow $p$-subgroup of $G$ with $(p,|H|)=1$. In this paper, we use $s$-semipermutable subgroups to determine the structure of finite groups. Some of the previous results are generalized.

Received: 08.11.2006

Language: English


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, 257, suppl. 1, S189–S194

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