JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (2): 68-72.doi: 10.6040/j.issn.1671-9352.0.2019.032

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On p-central automorphisms of critical groups and applications

DONG Shen-juan, LI Zheng-xing*   

  1. College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Published:2020-02-14

Abstract: Let G be a critical group. It is proved that there exits some prime p such that every p-central automorphism of G is inner. As an application, it is proved that every Coleman automorphism of the holomorph H of G is inner.

Key words: p-central automorphism, Coleman automorphism, holomorph

CLC Number: 

  • O152.1
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