On Central Automorphisms Fixing the Center Element-Wise

DOI10.1080/00927870902828991zbMath1187.20013arXiv0803.4081OpenAlexW2053524938MaRDI QIDQ3656745

Manoj K. Yadav

Publication date: 14 January 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.4081

zbMATH Keywords

finite \(p\)-groupscentral automorphisms

Mathematics Subject Classification ID

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

Related Items (14)

On equality of central and class preserving automorphisms of finite \(p\)-groups. ⋮ On fixed points of central automorphisms of finite-by-nilpotent groups. ⋮ On equality of certain subcentral automorphisms in finite p-groups ⋮ Some finite p-groups with central automorphism group of non-minimal order ⋮ Some properties on \(\mathrm{IA}_{\mathrm{Z}}\)-automorphisms of groups ⋮ On equality of certain automorphism groups ⋮ Equality of derival automorphisms and certain automorphisms in finitely generated groups ⋮ Finitep-Groups in Which Each Central Automorphism Fixes Centre Elementwise ⋮ ON AUTOMORPHISMS FIXING CERTAIN GROUPS ⋮ On \(IA\)-automorphisms that fix the centre element-wise. ⋮ Unnamed Item ⋮ On inner automorphisms and certain central automorphisms of groups. ⋮ Central Automorphisms and Inner Automorphisms in Finitely Generated Groups ⋮ On Finitep-Groups Whose IA-Automorphisms Are All Class Preserving

Cites Work

• On central automorphisms that fix the centre elementwise.
• Automorphisms of direct products of finite groups.
• CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER

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