Self-Dual Lattices for Maximal Orders in Group Algebras

DOI10.2307/2044749zbMath0588.20004OpenAlexW4240462465MaRDI QIDQ3715311

David Gluck

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044749

zbMATH Keywords

integral representationDedekind domainfinite groupfull self-dual R[G-lattice]p-hyperelementary

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

• A characterization of generalized permutation characters
• The Artin index of characters of finite faithful metacyclic groups
• Artin exponent of finite groups
• Rationally represented characters and permutation characters of nilpotent groups
• Genera and decompositions of lattices over orders
• Solvable and Nilpotent Subgroups of GL(n,q^m)
• On finite linear groups
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