On some variants of theorems of Schur and Baer.

DOI10.1007/s00032-014-0215-9zbMath1322.20027OpenAlexW2017346910MaRDI QIDQ475716

Martyn R. Dixon, Aleksander A. Pypka, Leonid A. Kurdachenko

Publication date: 27 November 2014

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-014-0215-9

zbMATH Keywords

automorphismsSchur theoremlower central seriesupper central seriesBaer theoremhypercentrecentral factor group

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

Related Items (8)

Unnamed Item ⋮ Some relationships between the generalized central series of Leibniz algebras ⋮ Division algebras graded by a finite group ⋮ On some generalizations of Baer's theorem ⋮ Bounds for the generalization of Baer's type theorems ⋮ On Baer's theorem and its generalizations ⋮ Variants of theorems of Baer and Hall on finite-by-hypercentral groups. ⋮ On the structure and some numerical properties of subgroups and factor-groups defined by automorphism groups

Cites Work

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• Finite groups of exponent 12 as automorphism groups
• The absolute centre of a group
• Torsion-free groups having finite automorphism groups. I
• Multiplicators and groups with finite central factor-groups
• Groups of exponent 4 as automorphism groups
• Finite groups of exponent 4 as automorphism groups. II
• Endlichkeitskriterien für Kommutatorgruppen
• On a generalization of Baer Theorem
• On the upper central series of infinite groups
• Finite Automorphism Groups of Torsion-Free Groups

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