Autocommutator subgroups of finite groups

DOI10.1006/jabr.1996.6921zbMath0876.20015OpenAlexW2044790802MaRDI QIDQ1355621

Peter V. Hegarty

Publication date: 1 October 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6921

zbMATH Keywords

commutator subgroupsautomorphisms of finite groupsautocommutator subgroupsabsolute centres

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Representations of groups as automorphism groups of algebraic systems (20F29) Commutator calculus (20F12)

Related Items (16)

The probability that a pair of group elements is autoconjugate. ⋮ Perfect groups and normal subgroups related to an automorphism ⋮ 𝐴𝑢𝑡-invariant quasimorphisms on groups ⋮ On \(\theta\)-commutators and the corresponding non-commuting graphs ⋮ Unnamed Item ⋮ Some properties of n-autonilpotent groups ⋮ On Subsets and Subgroups Defined by Commutators and Some Related Questions ⋮ Second centralizers and autocommutator subgroups of automorphisms ⋮ Abelian groups as autocommutator subgroups. ⋮ Relative autocommutator subgroups of abelian groups ⋮ On autocommutators and the autocommutator subgroup in infinite abelian groups ⋮ Finite groups with a given absolute central factor group. ⋮ Some properties of central kernel quotient of a group ⋮ Some results of left and right α-commutators of groups ⋮ Some properties of left 2α-Engel subgroups ⋮ Cyclic Groups as Autocommutator Groups

Cites Work

• Unnamed Item
• The absolute centre of a group
• Groups with finitely many automorphisms
• On the Number of Automorphisms of a Finite p-group
• Endliche Gruppen I

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