Groups with Chernikov factor-group by hypercentral.
type: Item
instance of: scholarly article
title: Groups with Chernikov factor-group by hypercentral.
zbMATH Open document ID: 1342.20040
author: L. A. Kurdachenko
author: Javier Otal
published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
publication date: 2015-09-21T00:00:00Z
review text: In this interesting paper the authors extend some classical theorems involving the terms and the factor groups of the central series of a group. They show that a periodic hypercentral-by-Chernikov group is Chernikov-by-hypercentral and obtain explicit bounds that describe numerical invariants of the second structure of the group as a function of the first one.
Mathematics Subject Classification ID: 20F14
Mathematics Subject Classification ID: 20F19
Mathematics Subject Classification ID: 20F50
zbMATH DE Number: 6483929
zbMATH Keywords: upper central series
zbMATH Keywords: hypercenter
zbMATH Keywords: Chernikov-by-hypercentral groups
zbMATH Keywords: locally nilpotent residual
zbMATH Keywords: \(p\)-ranks
zbMATH Keywords: \(p\)-minimal ranks
zbMATH Keywords: minimax ranks
zbMATH Keywords: periodic Chernikov groups
zbMATH Keywords: Schur theorem
zbMATH Keywords: Baer theorem
reviewed by: Igor Subbotin
MaRDI profile type: Publication
full work available at URL: s13398-014-0201-7
OpenAlex ID: W2095156292
cites work: Endlichkeitskriterien für Kommutatorgruppen
cites work: Q5609457
cites work: Q5612538
cites work: The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group.
cites work: On a generalization of Baer theorem.
cites work: Groups with prescribed quotient groups and associated module theory
cites work: Q3410546
cites work: Q5823301
cites work: Q4022822
cites work: Monotone Piecewise Cubic Interpolation
cites work: Groups with boundedly finite classes of conjugate elements
DOI: 10.1007/S13398-014-0201-7
description: scientific article; zbMATH DE number 6483929