On fixed points of central automorphisms of finite-by-nilpotent groups.

DOI10.1016/j.jalgebra.2014.03.031zbMath1322.20022OpenAlexW2069885865MaRDI QIDQ403045

Francesco de Giovanni, Maria Maddalena Miccoli, Francesco Catino

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.03.031

zbMATH Keywords

subgroups of finite indexelements of finite orderChernikov groupscentral automorphismscentral kernelfinite-by-nilpotent groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

ON THE CENTRAL KERNEL OF A GROUP ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A note on groups with countable automorphism groups
• Central automorphisms of periodic groups
• The automorphism group of finite p-groups
• Endomorphism algebras of large modules with distinguished submodules
• Groups with finitely many automorphisms
• On Central Automorphisms Fixing the Center Element-Wise
• On Groups with a Central Automorphism of Infinite Order
• On central automorphisms of infinite groups
• On central automorphisms of finite-by-nilpotent groups
• Normal Automorphisms and Their Fixed Points

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