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

DOI10.4171/RSMUP/130OpenAlexW4366495738MaRDI QIDQ6203812

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Publication date: 8 April 2024

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/130

zbMATH Keywords

nilpotent groupcommutatorselement ordersnormal Hall subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Derived series, central series, and generalizations for groups (20F14)

Cites Work

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• Commutators of elements of coprime orders in finite groups.
• Fitting height of groups and of fixed points
• A criterion for metanilpotency of a finite group
• On nilpotency of higher commutator subgroups of a finite soluble group
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Variations on results on orders of products in finite groups
• Coprime commutators in finite groups
• A NILPOTENCY CRITERION FOR SOME VERBAL SUBGROUPS
• Existence of normal Hall subgroups by means of orders of products

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