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...

書誌詳細
出版年:	International Journal of Group Theory
第一著者:	S. Mohsen Ghoraishi
フォーマット:	論文
言語:	英語
出版事項:	University of Isfahan 2019-03-01
主題:	$p$-groups automorphisms noninner automorphisms
オンライン･アクセス:	http://ijgt.ui.ac.ir/article_22412_bb6fd44e271320636320a62cf00c7ba2.pdf

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