J4 ›› 2011, Vol. 46 ›› Issue (6): 1-3.

• Articles •     Next Articles

On central automorphisms and class-preserving
automorphisms of finite groups

HAI Jin-ke, LI Zheng-xing   

  1. School of Mathematics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2010-10-07 Online:2011-06-16 Published:2011-12-19

Abstract:

Connections between class-preserving automorphisms and central automorphisms of finite groups are established. Some sufficient conditions for classpreserving automorphisms of finite p-groups to be inner automorphisms are obtained by means of certain properties of central automorphisms.

Key words: central automorphisms; class-preserving automorphisms; normalizer property

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