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On s-semipermutable subgroups of finite groups

โœ Scribed by Yang Ming Li; Xuan Li He; Yan Ming Wang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
177 KB
Volume
26
Category
Article
ISSN
1439-7617

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Wenbin Guo; K. P. Shum; A. N. Skiba ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 136 KB

## Abstract Let __X__ be a nonempty subset of a group __G__. We call a subgroup __A__ of __G__ an __X__~__m__~โ€__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

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## Introduction. 1. p-groups with Small Groups of Operators. 2. The Number of Solutions to x p s 1 in a Sylow p-subgroup of the Symmetric Group. 3. p-groups with Maximal Elementary Subgroup of Order p 2 . 4. On the Maximal Order of Subgroups of Given Exponent in a p-group. ## 5. p-groups with