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## Bulletin of the Polish Academy of Sciences. Mathematics

2011 | 59 | 1 | 41-52
Tytuł artykułu

### Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups

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Suppose G is a finite group and H is a subgroup of G. H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup $H_{se}$ of G contained in H such that G = HT and $H ∩ T ≤ H_{se}$; H is called weakly s-supplemented in G if there is a subgroup T of G such that G = HT and $H ∩ T ≤ H_{sG}$, where $H_{sG}$ is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the influence of the existence of s-permutably embedded and weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized.
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Tom
Numer
Strony
41-52
Opis fizyczny
Daty
wydano
2011
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autor
• School of Mathematical Science, Xuzhou Normal University, Xuzhou, 221116, China
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