Influence of s-Semipermutability of Some Subgroups of Prime Power Order on Structure of Finite Groups |
Received:June 05, 2003 |
Key Words:
s-semipernutable subgroups Sylow tower supersolvable groups
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Fund Project:NNSF of China (10471085) and NSF of Shanxi Province of China (20011004), Key Proj.of Ministry of Education(02023) and the Returned Overseas Students Foundation of Shanxi Province of China ([2004]7) |
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Abstract: |
A subgroup H of a finite group G is called semipermutable if it is permutable with every subgroup K of G with (|H|, |K|) = 1, and s-semipermutable if it is permutable with every Sylow p-subgroup of G with (p, |H|) = 1. In this paper, we investigate the influ ence of s-semipermutablity of some subgroups of prime power order of a finite group on its supersolvablility. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2005.03.006 |
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