Sharp characters of finite groups

DOI10.1016/0021-8693(88)90285-2zbMath0651.20010OpenAlexW2013300368MaRDI QIDQ1106318

Masao Kiyota, Peter J. Cameron

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90285-2

zbMATH Keywords

virtual character of a finite group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (17)

Groups with sharp non-linear irreducible characters ⋮ On a theorem of Blichfeldt ⋮ On finite groups admitting certain sharp characters ⋮ Sharp characters with one rational value ⋮ A conjecture of Cameron and Kiyota on sharp characters with prescribed values ⋮ On finite groups admitting certain sharp characters with irrational values ⋮ The classification of sharp permutation groups of type {0,4} ⋮ Groups with sharp character of type \(\{-1,1,3\}\) ⋮ On a congruence of Blichfeldt concerning the order of finite groups ⋮ On sharp characters of type {−1,3} or {−3,1} ⋮ Speed's orbit problem: Variations on themes of Burnside ⋮ The \(L\)-sharp permutation groups ⋮ Character products and \(Q\)-polynomial group association schemes ⋮ Sharp characters of finite groups of type \(\{-1,1\}\) ⋮ On sharp characters of rank 2 with rational values. ⋮ Group characters, permutation actions and sharpness ⋮ On sharp characters of type $\{ -1,0,2 \}$

Cites Work

• An inequality for finite permutation groups
• Characters vanishing on all but two conjugacy classes.
• Sharp sets of permutations
• Sharp permutation groups
• Spherical codes and designs
• Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen

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