JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 53-57.doi: 10.6040/j.issn.1671-9352.0.2020.680

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On Coleman outer automorphism groups of a class of metacyclic groups

Yihuo A-ga, HAI Jin-ke*   

  1. College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Published:2021-08-09

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Abstract: It is proved that the Coleman outer automorphism group of a class of metacyclic groups 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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