Groups whose irreducible representations have degree at most 2.

DOI10.1016/j.jpaa.2004.12.012zbMath1079.20009OpenAlexW2043529481MaRDI QIDQ555970

Gregory T. Lee

Publication date: 10 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.012

zbMATH Keywords

group ringsirreducible representationsrepresentation degreesskew elements

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (6)

Star group identities on units of group algebras ⋮ Group algebras of torsion groups and Lie nilpotence ⋮ A Survey on *-Group Identities on Units of Group Rings ⋮ Group algebras whose symmetric and skew elements are Lie solvable ⋮ Lie properties of symmetric elements in group rings. ⋮ Group identities on symmetric units.

Cites Work

• Groups with representations of bounded degree. II
• Unitary units and skew elements in group algebras.
• Lie nilpotence of group rings
• Observations on group rings
• Group rings whose symmetric elements are Lie nilpotent
• The lien-engel property in group rings
• Lie Solvable Group Rings
• Unitary units in group algebras
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