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

• Datum: 2001
• Hauptverfasser: Bondarchuk, L. Yu., Pylyavs'ka, O. S., Бондарчук, Л. Ю., Пилявська, О. С.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4365
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.