On periodic subgroups of factorized groups

DOI10.1007/BF01201446zbMath0793.20021OpenAlexW1994475566MaRDI QIDQ1312367

Silvana Franciosi, Francesco de Giovanni

Publication date: 14 August 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01201446

zbMATH Keywords

locally nilpotent groupselements of finite orderproducts of groupslocally nilpotent subgroupshyperabelianfinite torsion-free ranksolubletriply factorized groups\(\pi\)-closed subgroupslocally polycycliclocally soluble and periodic

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items (2)

On locally finite groups factorized by locally nilpotent subgroups ⋮ Triple factorization by locally supersoluble groups

Cites Work

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• Triple factorizations by abelian groups
• Lokal endlich-auflösbare Produkte von zwei hyperzentralen Gruppen
• Products of two Abelian subgroups
• Groups with a nilpotent triple factorisation

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