On the Existence of a Noninner Automorphism of Order $p$ for $p$-Groups

We obtain sufficient conditions for the existence of a noninner automorphism of order p for finite p-groups. We show that groups of order p n (n < 7, p is a prime number, p > 3) possess a noninner automorphism of order p.

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Bibliographic Details
Date:2001
Main Authors: Bondarchuk, L. Yu., Pylyavs'ka, O. S., Бондарчук, Л. Ю., Пилявська, О. С.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4365
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal