The dihedral group as a group of automorphisms.

DOI10.1016/J.JALGEBRA.2012.04.035zbMath1277.20023OpenAlexW2058422759MaRDI QIDQ372649

P. V. Shumyatskij

Publication date: 9 October 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869312005364

zbMATH Keywords

finite groupsautomorphism groupsautomorphismscentralizersexponentsnilpotence classesdihedral groupsassociated Lie ringsfixed-point subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (4)

Fitting Height of a Finite Group with a Metabelian Group of Automorphisms ⋮ On finite groups admitting automorphisms with nilpotent centralizers ⋮ Nilpotent residual of a finite group ⋮ On \(p\)-groups of maximal class as groups of automorphisms.

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