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

• Autorzy: Changwen Li
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20D20: Sylow subgroups, Sylow properties, π -groups, π -structure
• 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, π -length, ranks

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: 59
• Numer: 1
• Strony: 41-52

Daty

wydano

2011

Twórcy

autor

Changwen Li

• School of Mathematical Science, Xuzhou Normal University, Xuzhou, 221116, China

Identyfikatory

DOI

10.4064/ba59-1-6