Locally soluble products of two subgroups with finite rank

DOI10.1080/00927879608825707zbMath0856.20021OpenAlexW2089644656MaRDI QIDQ4889395

Bernhard Amberg, Yaroslav P. Sysak

Publication date: 2 February 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825707

zbMATH Keywords

soluble groupslocally soluble groupsfactorized groupsperiodic subgroupssoluble minimax groupsfinite Prüfer rankfinite Abelian section rankminimax subgroupsproducts of two subgroupslocally soluble products of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items

On the Prüfer rank of mutually permutable products of abelian groups

Cites Work

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• Products of groups with finite rank
• Soluble products of polycyclic groups
• On Finitely Generated Soluble Groups With No Large Wreath Product Sections
• Soluble Groups Which are Products of Groups of Finite Rank
• On quasinormal subgroups of certain finitely generated groups