The 2-Character Table Does Not Determine a Group

DOI10.2307/2159960zbMath0807.20007OpenAlexW4233297207MaRDI QIDQ4292201

Kenneth W. Johnson, Surinder K. Sehgal

Publication date: 16 January 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159960

zbMATH Keywords

group determinant3-charactersdoubly transitive solvable Frobenius groups

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) Multiply transitive finite groups (20B20) Characterization theorems for permutation groups (20B10)

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The \(2\)-characters of a group and the group determinant ⋮ The 1-, 2-, and 3-characters determine a group ⋮ Generalized centralizer rings of a finite group whose characters are the k-characters ⋮ Weak Cayley table groups