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c-Semipermutable subgroups of finite groups

โœ Scribed by B. Hu; W. Guo

Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
184 KB
Volume
48
Category
Article
ISSN
0037-4466

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๐Ÿ“œ SIMILAR VOLUMES

On s-semipermutable subgroups of finite
On s-semipermutable subgroups of finite groups
โœ Yang Ming Li; Xuan Li He; Yan Ming Wang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Institute of Mathematics, Chinese Academy of Scien ๐ŸŒ English โš– 177 KB
Finite groups with some given systems of
Finite groups with some given systems of Xm-semipermutable subgroups
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

Finite groups with some subgroups of Syl
Finite groups with some subgroups of Sylow subgroups c-supplemented
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A subgroup H is said to be c-supplemented in group G if there exists a subgroup K of G such that HK = G and H n K is contained in Corea(H ). We determine the structure of finite groups with some subgroups of Sylow groups c-supplemented ill a.

c-Sections of Maximal Subgroups of Finit
c-Sections of Maximal Subgroups of Finite Groups
โœ Yanming Wang; Li Shirong ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB

Let G be a finite group and let M be a maximal subgroup of G. Let K/L be a chief factor of G such that L โ‰ค M and G = MK. We call the group M โˆฉ K/L a c-section of M in G. All c-sections of M are isomorphic. Using the concept of c-sections, we obtain some new characterizations of solvable and ฯ€-solvab