The structure of Schur rings over cyclic groups

DOI10.1016/0022-4049(90)90032-DzbMath0761.20001MaRDI QIDQ1814012

Ka Hin Leung, Siu Lun Ma

Publication date: 25 June 1992

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

zbMATH Keywords

partitioncyclic groupSchur ringsfinite groupcyclic \(p\)-group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Abelian Schur groups of odd order ⋮ Fusions of character tables. III: Fusions of cyclic groups and a generalisation of a condition of Camina. ⋮ On Schur rings over infinite groups ⋮ On structures of quasi-thin table algebras and applications to association schemes ⋮ An analog of nilpotence arising from supercharacter theory ⋮ Fusions of Character Tables and Schur Rings of Abelian Groups ⋮ Primitive idempotents of Schur rings. ⋮ On Schur 2-groups ⋮ A construction of the automorphism groups of indecomposable S-rings over \(Z_{2^n}\) ⋮ A solution of a problem of A. E. Brouwer ⋮ Counting Schur rings over cyclic groups ⋮ On Schur rings over cyclic groups ⋮ Schur rings. ⋮ Fusions of Character Tables II:p-Groups ⋮ On automorphism groups of circulant digraphs of square-free order ⋮ Schur rings over ⋮ On automorphisms of circulant digraphs on \(p^{m}\) vertices, \(p\) an odd prime

Cites Work

• On triple-sum-sets and two or three weights codes
• Partial difference sets
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• Coding theory and design theory. Part I: Coding theory. Proceedings of a workshop which was an integral part of the 1987-88 IMA program on applied combinatorics, Minneapolis, MN(USA)
• Zur Theorie der einfach transitiven Permutationsgruppen. II
• Untersuchungen von S‐Ringen, insbesondere im Gruppenring von p‐Gruppen
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