### 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.

CLC Number:

• O152.1
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