On noninner automorphisms of finite $p$-groups that fix the center elementwise
In this paper we show that every finite nonabelian $p$-group $G$ in which the Frattini subgroup $Phi(G)$ has order $leq p^5$ admits a noninner automorphism of order $p$ leaving the center $Z(G)$ elementwise fixed. As a consequence it follows that the order of a possible counterexample to the conject...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2019-03-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://ijgt.ui.ac.ir/article_22412_bb6fd44e271320636320a62cf00c7ba2.pdf |