Automorphisms of a finite $p$-group with cyclic Frattini subgroup
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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| Format: | Article |
| Language: | English |
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University of Isfahan
2018-12-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://ijgt.ui.ac.ir/article_21219_ae7d67b716884474ebab05e35cda245c.pdf |