Bounds for fixed point free elements in a transitive group and applications to curves over finite fields

DOI10.1007/BF02760932zbMath0910.11053OpenAlexW1966281478MaRDI QIDQ1380508

Daqing Wan, Robert M. Guralnick

Publication date: 6 January 1999

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

Full work available at URL: https://doi.org/10.1007/bf02760932

zbMATH Keywords

curves over finite fieldsvalue set of a polynomialfixed-point-free elements in finite groups

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Finite ground fields in algebraic geometry (14G15)

Related Items (16)

Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements ⋮ Products of derangements in simple permutation groups ⋮ Conjugacy classes of derangements in finite transitive groups ⋮ Fixed conjugacy classes of normal subgroups and the \(k(GV)\)-problem. ⋮ Derangements in subspace actions of finite classical groups ⋮ Polytope bounds on multivariate value sets ⋮ An algebraic geometry version of the Kakeya problem ⋮ On a conjecture of polynomials with prescribed range ⋮ Prime order derangements in primitive permutation groups. ⋮ A probabilistic approach to value sets of polynomials over finite fields ⋮ A note on Frobenius groups ⋮ Computational arithmetic geometry. I: Sentences nearly in the polynomial hierarchy ⋮ On cyclic semi-regular subgroups of certain 2-transitive permutation groups ⋮ A Weil-bound free proof of Schur's conjecture ⋮ On fixed points of permutations. ⋮ On polynomials over prime fields taking only two values on the multiplicative group

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