The Loewy length of a tensor product of modules of a dihedral two-group.

DOI10.1016/J.JPAA.2013.08.015zbMath1302.20012arXiv1202.5385OpenAlexW2964004419MaRDI QIDQ392503

Christopher C. Gill, Erik Darpö

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1202.5385

zbMATH Keywords

group algebrastensor productsindecomposable modulesLoewy lengthsdihedral groupsfinite 2-groupsGreen rings

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Cites Work

• On certain quotients of the Green rings of dihedral 2-groups.
• Nilpotent elements in the Green ring
• The indecomposable representations of the dihedral 2-groups
• The modular representation algebra of a finite group
• Decomposing tensor products and exterior and symmetric squares
• On Jordan bases for the tensor product and Kronecker sum and their elementary divisors over fields of prime characteristic
• Certain representation algebras
• The Modular Representation Ring of a Cyclic p -Group
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