On certain quotients of the Green rings of dihedral 2-groups.

DOI10.1016/j.jpaa.2007.11.012zbMath1152.20002OpenAlexW2061207470MaRDI QIDQ927327

Louise Archer

Publication date: 5 June 2008

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.2007.11.012

zbMATH Keywords

Auslander-Reiten quiversalmost split sequencesGreen ringsendo-trivial modulesstring modulesband modules

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Related Items (7)

Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras ⋮ Some conjectures and their consequences for tensor products of modules over a finite \(p\)-group ⋮ The Loewy length of a tensor product of modules of a dihedral two-group. ⋮ Generalized trace and modified dimension functions on ribbon categories ⋮ On tensor products of simple modules for simple groups. ⋮ The Green ring of Drinfeld double \(D(H_4)\). ⋮ The Green rings of Taft algebras

Cites Work

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• Modular representation theory: New trends and methods
• Almost-split sequences and group rings
• Nilpotent elements in the Green ring
• The indecomposable representations of the dihedral 2-groups
• Nilpotent elements of order \(3\) in the Green ring of the dihedral-\(2\)- groups
• Nilpotent elements in representation rings over fields of characteristic 2
• The modular representation algebra of a finite group
• Nilpotent elements in representation rings
• Certain representation algebras
• Torsion endo-trivial modules

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