Grassmannian fixed point ratios

DOI10.1023/A:1005278605358zbMath0970.20003OpenAlexW81772674MaRDI QIDQ1590665

Kay Magaard, Daniel E. Frohardt

Publication date: 8 July 2001

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005278605358

zbMATH Keywords

Grassmanniansprimitive permutation groupsmonodromy groupsnumbers of fixed pointsfixed point ratiosalmost simple classical groupscoverings of Riemann surfaces

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Compact Riemann surfaces and uniformization (30F10) Coverings of curves, fundamental group (14H30) Simple groups: alternating groups and groups of Lie type (20D06) General theory of linear incidence geometry and projective geometries (51A05) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items

Products of derangements in simple permutation groups ⋮ Positive definite functions of finitary isometry groups over fields of odd characteristic. ⋮ On the uniform spread of almost simple symplectic and orthogonal groups ⋮ Fixed point ratios in actions of finite classical groups. I. ⋮ Primitive monodromy groups of genus at most two ⋮ Fixed point spaces in primitive actions of simple algebraic groups. ⋮ McKay graphs for alternating and classical groups ⋮ Fixed point ratios for finite primitive groups and applications