Spreads and nilpotence class in nilpotent groups and Lie algebras.

DOI10.1016/j.jalgebra.2014.08.013zbMath1320.20022OpenAlexW2011683862WikidataQ115350904 ScholiaQ115350904MaRDI QIDQ468687

Avinoam Mann

Publication date: 7 November 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.08.013

zbMATH Keywords

spreadsfinite \(p\)-groupsnilpotent Lie algebrasconjugacy class sizestorsion-free nilpotent groupsnilpotency classesdimensions of centralizersorders of centralizers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30)

Related Items (1)

Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Unnamed Item
• On finite \(p\)-groups which have only two conjugacy lengths
• Lie algebras with few centralizer dimensions.
• Elements of minimal breadth in finite p-groups and lie algebras
• Subgroups generated by small classes in finite groups
• Class and Breadth of a Finite p -Group
• Space Groups and Groups of Prime-Power Order IV. Counterexamples to the Class-Breadth Conjecture
• Centralizer sizes and nilpotency class in Lie algebras and finite 𝑝-groups
• The Breadth and the Class of a Finite P -Group
• CORRECTION TO ‘CONJUGACY CLASS SIZES IN FINITE GROUPS’

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