Groups with finite torsion-free rank which have a locally nilpotent triple factorization

DOI10.1006/jabr.1995.1343zbMath0838.20041OpenAlexW2027165098MaRDI QIDQ1904074

Yaroslav P. Sysak, Bernhard Amberg

Publication date: 25 March 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1995.1343

zbMATH Keywords

factorized groupslocally nilpotent subgroupsHirsch-Plotkin radicalAbelian section ranktorsion-free rankhyperabelian groupsseries of finite length

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

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On locally finite groups factorized by locally nilpotent subgroups

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