Character value estimates for non-semisimple elements

DOI10.1006/jabr.1993.1041zbMath0771.20009OpenAlexW1986310849MaRDI QIDQ1209599

David Gluck

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1041

zbMATH Keywords

symplectic groupChevalley groupirreducible characterunipotent elementsconstituentsgroup of Lie type

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Representation theory for linear algebraic groups (20G05) Group rings (16S34) Representations of finite groups of Lie type (20C33)

Related Items (12)

Products of derangements in simple permutation groups ⋮ Expansion properties of Cayley graphs of the alternating groups ⋮ The ideal lattices of the complex group rings of finitary special and general linear groups over finite fields ⋮ Character estimates for finite simple groups and applications ⋮ Products of normal subsets ⋮ Roots of \(L\)-functions of characters over function fields, generic linear independence and biases ⋮ Eigenvalues of unipotent elements in cross-characteristic representations of finite classical groups. ⋮ The Waring problem for finite simple groups. ⋮ Probabilistic Waring problems for finite simple groups ⋮ Cross-characteristic character and fixed point space ratios for groups of Lie type ⋮ On the conjectures of J. Thompson and O. Ore ⋮ McKay graphs for alternating and classical groups

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