Character and Fixed Point Ratios in Finite Classical Groups

DOI10.1112/plms/s3-71.3.547zbMath0865.20012OpenAlexW1990820485MaRDI QIDQ4862824

David Gluck, Kay Magaard

Publication date: 14 July 1997

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

Full work available at URL: https://doi.org/10.1112/plms/s3-71.3.547

zbMATH Keywords

finite groupsirreducible charactersclassical groupscharacter ratiosfixed point ratiostransitive \(G\)-sets

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Representations of finite groups of Lie type (20C33)

Related Items (13)

On hurwitz groups of low rank ⋮ On the minimal degree of a transitive permutation group with stabilizer a 2-group ⋮ FIXED POINT RATIOS IN EXCEPTIONAL GROUPS OF RANK AT MOST TWO ⋮ Fixed point spaces in actions of classical algebraic groups ⋮ Subnormalizers and solvability in finite groups ⋮ Fixed point ratios in actions of finite classical groups. I. ⋮ Fixed point spaces in primitive actions of simple algebraic groups. ⋮ Eigenvalues of unipotent elements in cross-characteristic representations of finite classical groups. ⋮ Minimal characters of the finite classical groups ⋮ The extraspecial case of the 𝑘(𝐺𝑉) problem ⋮ The depth of invariant rings and cohomology. Appendix by Kay Magaard: Visible flatness for irreducible modules of groups with BN-pair ⋮ Absolute Fourth Moments and Finiteness of Linear Groups ⋮ Beauville Surfaces and Probabilistic Group Theory

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