Products of subgroups, subnormality, and relative orders of elements

DOI10.26493/1855-3974.2975.1b2zbMath1523.20045arXiv2210.02261MaRDI QIDQ6077973

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Publication date: 27 September 2023

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.02261

zbMATH Keywords

subnormal subgroupproduct of subgroupsrelative order

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) General structure theorems for groups (20E34) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• A proof of the Kegel-Wielandt conjecture on subnormal subgroups
• The size of a product of two subgroups and subnormality
• A theorem on finitely generated hyperabelian groups
• Groups with all subgroups subnormal
• Sylow p -Subgroups and Subnormal Subgroups of Finite Groups

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