Groups with Chernikov factor-group by hypercentral.

DOI10.1007/s13398-014-0201-7zbMath1342.20040OpenAlexW2095156292MaRDI QIDQ496395

Leonid A. Kurdachenko

Publication date: 21 September 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-014-0201-7

zbMATH Keywords

\(p\)-ranksSchur theoremupper central seriesBaer theoremhypercenter\(p\)-minimal ranksChernikov-by-hypercentral groupslocally nilpotent residualminimax ranksperiodic Chernikov groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14)

Related Items (4)

On locally graded minimal non-(finite-by-hypercentral) groups ⋮ Groups whose factor group modulo the upper hypercenter is of finite 0-rank ⋮ On the relationships between the factors of the upper and lower central series in some non-periodic groups ⋮ On groups whose factor-group modulo the hypercentre has finite section \(p\)-rank.

Cites Work

• The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group.
• Endlichkeitskriterien für Kommutatorgruppen
• On a generalization of Baer Theorem
• Groups with boundedly finite classes of conjugate elements
• Monotone Piecewise Cubic Interpolation
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