Automorphism Groups of Some Finite p-Groups

Author:

Liu Heguo1,Wang Yulei2

Affiliation:

1. Department of Mathematics, Hubei University, Wuhan 430062, China

2. Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China

Abstract

The automorphism group of G is determined, where G is a nonabelian p-group given by a central extension as 1 → ℤpm → G → ℤp × ⋯ × ℤp → 1 such that its derived subgroup has order p.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A class of finite p -groups and the normalized unit groups of group algebras;Communications in Algebra;2024-05-02

2. The Isomorphism Problem of Normalized Unit Groups of Group Algebras of a Class of Finite 2-groups;Acta Mathematica Sinica, English Series;2023-11

3. The unitary subgroups of group algebras of a class of finite p-groups;Journal of Algebra and Its Applications;2021-12-24

4. A class of finite resistant p-groups;Acta Mathematica Sinica, English Series;2016-11-30

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