Fixed point ratios, character ratios, and Cayley graphs

zbMATH Open1005.20001MaRDI QIDQ2704359

Aner Shalev

Publication date: 7 November 2001

zbMATH Keywords

random walksprimitive permutation groupsCayley graphsfinite groups of Lie typeprimitive permutation representationsirreducible complex representationscovering numbersnumbers of fixed pointscharacter ratiosfixed point ratios

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33) Primitive groups (20B15) Probabilistic methods in group theory (20P05)

Related Items (1)

Bounds on the order of cross characteristic subgroups of the finite simple groups of Lie type

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