JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 37-39.doi: 10.6040/j.issn.1671-9352.0.2020.148

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On Coleman automorphism groups of generalized dihedral groups

WU Hong-yi, HAI Jin-ke*   

  1. College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Published:2020-12-01

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Abstract: It is proved that Coleman outer automorphism group of a generalized dihedral group is either 1 or an elementary abelian 2-group by using the projection limit property of the group.

Key words: projection limit, Coleman automorphism, inner automorphism

CLC Number: 

  • O152.1
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[1] DONG Shen-juan, LI Zheng-xing. On p-central automorphisms of critical groups and applications [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(2): 68-72.
[2] ZHAO Le-le, HAI Jin-ke. Coleman automorphisms of extensions of the finite groups by some groups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(10): 109-112.
[3] . On Coleman automorphisms of finite inner nilpotent groups and Frobenius groups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 4-6.
[4] 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.
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