Variations on results on orders of products in finite groups

DOI10.1017/PRM.2020.66OpenAlexW3092654444MaRDI QIDQ5152530

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Publication date: 24 September 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2020.66

zbMATH Keywords

nilpotent groupelement ordersnormal Hall subgroupnilpotent Hall subgroup

Mathematics Subject Classification ID

Abstract finite groups (20D99)

Related Items (1)

Orders of products of elements and nilpotency of terms in the lower central series and the derived series

Cites Work

• Sylow numbers and nilpotent Hall subgroups.
• Lifting in Frattini covers and a characterization of finite solvable groups.
• Prime divisors of orders of products
• Order of products of elements in finite groups
• Existence of normal Hall subgroups by means of orders of products
• Note on $(LM)$-groups of finite orders

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