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The Automorphism Group of a Finite p-Group with a Cyclic Frattini Subgroup |
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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 |
Page view: 1599
Net amount: 1660 |
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). |
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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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