On groups with large verbal quotients

DOI10.1515/jgth-2023-0088MaRDI QIDQ6634496

Francesca A. Lisi, Luca Sabatini

Publication date: 7 November 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

verbal subgroupmarginal subgroup\(w\)-maximal subgroup

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Nilpotent groups (20F18) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14)

Cites Work

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• A characterization of powerful \(p\)-groups.
• On \(w\)-maximal groups.
• On pseudovarieties
• On finite insoluble groups with nilpotent maximal subgroups
• Class 2 quotients of solvable linear groups
• On Burnside's other \(p^a q^b\) theorem
• A replacement theorem for \(p\)-groups and a conjecture
• Verbal and marginal subgroups.
• The growth of abelian sections
• Nilpotent subgroups of class 2 in finite groups
• The Minimum Number of Generators of a Finite p -Group
• The Fitting subgroup of a linear solvable group
• The classification of prime-power groups.

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