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  
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)
Author NameAffiliation
WANG Li-fang School of Mathematics, Zhongshan University, Guangzhou 510275, China 
ZHANG Qin-hai School of Mathematics and Computer, Shanxi Teachers'University, Linfen 041004, China 
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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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