On Groups with Finite Abelian Section Rank Factorized by Mutually Permutable Subgroups

DOI10.1080/00927872.2014.958850zbMath1344.20045OpenAlexW2267749303MaRDI QIDQ2802173

R. Ialenti, Francesco de Giovanni

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.958850

zbMATH Keywords

products of subgroupssolvable groupsascendant subgroupsfinite-by-nilpotent groupsgroups with finite abelian section rankmutuallly permutable products

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (2)

Periodic linear groups factorized by mutually permutable subgroups ⋮ On groups factorized by mutually permutable subgroups

Cites Work

• Überauflösbare Gruppen
• Products of groups with finite rank
• The vanishing of certain homology and cohomology groups
• On groups with many almost normal subgroups
• Mutually permutable subgroups and group classes.
• On the Hirsch-Plotkin radical of a factorized group
• Totally permutable torsion subgroups
• Locally Finite Products of Totally Permutable Nilpotent Groups
• On the supersolvability of finite groups

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