On a conjecture about automorphisms of finite \(p\)-groups.

DOI10.1007/S00013-009-0046-ZzbMath1187.20012OpenAlexW2124039764WikidataQ123126794 ScholiaQ123126794MaRDI QIDQ1042424

Mehdi Shabani Attar

Publication date: 14 December 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0046-z

zbMATH Keywords

finite \(p\)-groupscentral automorphismsnoninner automorphisms

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

NONINNER AUTOMORPHISMS OF ORDER IN FINITE -GROUPS OF COCLASS 2, WHEN ⋮ Noninner automorphisms of order \(p\) in some finite \(p\)-groups ⋮ ON AUTOMORPHISMS FIXING CERTAIN GROUPS ⋮ EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER p IN SOME FINITE p-GROUPS ⋮ On inner automorphisms and certain central automorphisms of groups. ⋮ A note on the existence of noninner automorphisms of order p in some finite p-groups ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Unnamed Item
• Noninner automorphisms of order \(p\) of finite \(p\)-groups
• Finite \(p\)-groups of class 2 have noninner automorphisms of order \(p\).
• On central automorphisms that fix the centre elementwise.
• Outer Automorphisms in Nilpotent p -Groups of Class 2

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