Lokal endlich-auflösbare Produkte von zwei hyperzentralen Gruppen

DOI10.1007/BF01235342zbMath0423.20027OpenAlexW1983004786MaRDI QIDQ1134227

Bernhard Amberg

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01235342

zbMATH Keywords

locally finite grouphypercentral subgroupsartinian p-componentsHirsch-Plotkin-Radicallocally finite-and-soluble groupsmaximal normal p- subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Local properties of groups (20E25)

Related Items (8)

Products of Abelian subgroups ⋮ Groups with a nilpotent-by-finite triple factorization ⋮ Groups with a supersoluble triple factorization ⋮ Groups with a nilpotent triple factorisation ⋮ Über den Satz von Kegel und Wielandt ⋮ Soluble products of two locally finite groups with min-p for every prime p ⋮ On periodic subgroups of factorized groups ⋮ On groups which are the product of abelian subgroups

Cites Work

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• Über Produkte von nilpotenten Gruppen
• Artinian and Noetherian factorized groups
• On the solvability of some factorized linear groups
• Endliche Gruppen I

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