J4 ›› 2013, Vol. 48 ›› Issue (6): 5-8.

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Influence of the structure of Sylow p-subgroups on Coleman outer automorphism groups of finite groups

HAI Jin-ke, LI Zheng-xing   

  1. School of Mathematics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2012-08-06 Online:2013-06-20 Published:2013-06-09

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Abstract:

 Let G be a finite group. It is  proved that if  G／F*(G) has no chief factor isomorphic to Cp, then the Coleman outer automorphism group of G is a p′group by considering the structure of Sylow psubgroups of G.

Key words: automorphism group; homology group; generalized Fitting subgroup

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