Two bounds for the nilpotence class of an algebra

DOI10.1090/S0002-9939-10-10229-9zbMath1198.20009OpenAlexW2075387403MaRDI QIDQ3566653

Benjamin Allen Otto

Publication date: 8 June 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10229-9

zbMATH Keywords

numbers of irreducible charactersnilpotence classesnilpotent algebrassuperclassesalgebra groupsdegrees of supercharacters

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items (2)

Sets of integers as superdegrees and superclass sizes ⋮ Nonzero coefficients in restrictions and tensor products of supercharacters of \(U_n(q)\).

Cites Work

• Derived length and conjugacy class sizes.
• Character degrees and nilpotence class of finite 𝑝-groups: An approach via pro-𝑝 groups
• Supercharacters and superclasses for algebra groups

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