On the structure and some numerical properties of subgroups and factor-groups defined by automorphism groups

DOI10.1142/S0219498815500759zbMath1323.20028OpenAlexW2145867801MaRDI QIDQ4983069

Javier Otal, Leonid A. Kurdachenko, Aleksander A. Pypka

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500759

zbMATH Keywords

automorphism groupsSchur theoremChernikov groupsspecial rank of groupscenters of groups relative to automorphism groupscommutators of groups relative to automorphism groupsPolovitzkii theoremsection ranks of groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

Related Items (1)

On Baer's theorem and its generalizations

Cites Work

• The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group.
• On some variants of theorems of Schur and Baer.
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• The absolute centre of a group
• Multiplicators and groups with finite central factor-groups
• Extension of a Schur theorem to groups with a central factor with a bounded section rank.
• Endlichkeitskriterien für Kommutatorgruppen
• Groups with boundedly finite classes of conjugate elements
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