JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 4-6.doi: 10.6040/j.issn.1671-9352.0.2017.001

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On Coleman automorphisms of finite inner nilpotent groups and Frobenius groups

  

  1. College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2016-12-29 Online:2017-10-20 Published:2017-10-12

Abstract: Let G be a semidirect product of a finite group N by a finite group H. It is shown that under some conditions every Coleman automorphism of G is an inner automorphism.

Key words: normalizer problem, inner nilpotent group, Coleman automorphism, Frobenius group

CLC Number: 

  • O152.6
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[1] HAI Jin-ke, WANG Wei, HE Wei-ping. A note on Coleman automorphisms of finite groups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 35-38.
[2] GUO Ji-dong1, HAI Jin-ke2*. A note on class-preserving automorphisms#br# [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(06): 46-49.
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