The Automorphism Group of a Finite p-Group with a Cyclic Frattini Subgroup

Citation:

Heguo LIU,Yulei WANG.The Automorphism Group of a Finite p-Group with a Cyclic Frattini Subgroup[J].Chinese Annals of Mathematics B,2019,40(4):613~642
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Authors:

Heguo LIU; Yulei WANG

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11771129, 11301150, 11601121) and the Natural Science Foundation of Henan Province of China (No.162300410066).
Abstract: Let $G$ be a finite $p$-group with a cyclic Frattini subgroup. In this paper, the automorphism group of $G$ is determined.

Keywords:

Finite $p$-groups, Frattini subgroups, Automorphisms

Classification:

20F18
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