Automorphisms of a finite $p$-group with cyclic Frattini subgroup

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2017-01-07 DOI:10.22108/IJGT.2017.21219

R. Soleimani

引用次数: 1

Abstract

Let $G$ be a group and $Aut^{Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/Phi(G)$ elementwise‎. ‎In this paper‎, ‎we characterize the finite $p$-groups $G$ with cyclic Frattini subgroup for which $|Aut^{Phi}(G):Inn(G)|=p$‎.

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具有循环Frattini子群的有限p群的自同构

设$G$是一个群，$Aut^{Phi}(G)$表示$G$集中于$G/Phi(G)$元素的所有自同构的群。在本文中，我们刻画了具有循环Frattini子群的有限$p$-群$G$，其中$|Aut^{Phi}(G):Inn(G)|=p$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.