On commuting automorphisms of groups

DOI10.1007/BF02638378zbMath1017.20028OpenAlexW2001746316MaRDI QIDQ1865718

Gheorghe Silberberg, Marian Deaconescu, Gary Lee Walls

Publication date: 27 March 2003

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

Full work available at URL: https://doi.org/10.1007/bf02638378

zbMATH Keywords

commuting automorphismsnilpotent subgroupsEngel elementshypercenter

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (14)

Abelian covers and non-commuting sets in a non-abelian \(p\)-group which its central quotient is metacyclic ⋮ Some necessary and sufficient conditions on commuting automorphisms of some finite p-groups ⋮ On commuting automorphisms of some finite \(p\)-groups ⋮ A note on commuting automorphisms of some finite \(p\)-groups ⋮ On Commuting Automorphisms ofp-Groups ⋮ Right 2-Engel elements and commuting automorphisms of groups ⋮ ON A CLASS OF NORMAL ENDOMORPHISMS OF GROUPS ⋮ Right 2-Engel elements, central automorphisms and commuting automorphisms of Lie algebras ⋮ On commuting automorphisms of finite groups ⋮ Automorphisms of Abelian group extensions. ⋮ On commuting automorphisms of finite \(p\)-groups with a metacyclic quotient ⋮ On commuting automorphisms of finite \(p\)-groups ⋮ Commuting automorphisms of finite 2-groups of almost maximal class, I ⋮ Commuting automorphisms of finite 2-groups of almost maximal class, II

Cites Work

• Unnamed Item
• Unnamed Item
• Engelsche Elemente Noetherscher Gruppen
• P-groups with non-abelian automorphism groups and all automorphisms central
• Centralizing Mappings of Semiprime Rings
• A Note on Commuting Automorphisms of Rings
• Right 2-Engel elements and commuting automorphisms of groups

This page was built for publication: On commuting automorphisms of groups