Coprime commutators and the nonsoluble length of a finite group

DOI10.1007/s00013-022-01810-5OpenAlexW4311123191MaRDI QIDQ2678881

Carmela Sica, P. V. Shumyatskij, Maria Tota

Publication date: 25 January 2023

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

Full work available at URL: https://doi.org/10.1007/s00013-022-01810-5

zbMATH Keywords

finite groupscoprime commutatorsnonsoluble length

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) General structure theorems for groups (20E34)

Cites Work

• Commutators of elements of coprime orders in finite groups.
• Nonsoluble and non-\(p\)-soluble length of finite groups.
• On periodic compact groups
• On the structure of compact torsion groups
• Exponent of a finite group admitting a coprime automorphism
• Solvability of groups of odd order
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• Nonsoluble length of finite groups with restrictions on Sylow subgroups
• Compact groups with countable Engel sinks
• Nonsoluble length of finite groups with commutators of small order
• An upper bound for the nonsolvable length of a finite group in terms of its shortest law

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