Fusions of character tables. III: Fusions of cyclic groups and a generalisation of a condition of Camina.

DOI10.1007/s11856-010-0067-0zbMath1257.20006OpenAlexW2091697529MaRDI QIDQ607839

Kenneth W. Johnson, Stephen P. Humphries, Brent L. Kerby

Publication date: 6 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0067-0

zbMATH Keywords

finite groupsFrobenius groupscyclic groupsSchur ringscharacter tablesCamina pairsfusions

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Weak Cayley tables and generalized centralizer rings of finite groups ⋮ Automorphism Groups of Schur Rings

Uses Software

• Magma

Cites Work

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• Characters vanishing on all but two conjugacy classes.
• More on \(p\)-groups of Frobenius type
• Some conditions which almost characterize Frobenius groups.
• Generalized Frobenius groups. II.
• Characters of finite quasigroups. III: Quotients and fusion
• On \(p\)-groups of Frobenius type
• Subschemes of some association schemes
• Homogeneous character induction
• On Schur rings over cyclic groups
• On the structure of basic sets of Schur rings over cyclic groups
• The structure of Schur rings over cyclic groups
• On Schur rings over cyclic groups. II
• Sylow \(p\)-subgroups of solvable Camina pairs
• Finite groups with many product conjugacy classes.
• Fusions of Character Tables and Schur Rings of Abelian Groups
• Fusions of Character Tables II:p-Groups
• Weak Cayley Tables

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