Derangements in subspace actions of finite classical groups

DOI10.1090/tran/6721zbMath1431.20033arXiv1303.5480OpenAlexW2088381458MaRDI QIDQ2951911

Jason Fulman, Robert M. Guralnick

Publication date: 10 January 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5480

zbMATH Keywords

random matrixrandom permutationderangementfinite classical group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Subnormal subgroups of abstract finite groups (20D35) Primitive groups (20B15)

Related Items (18)

Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements ⋮ Primitive permutation groups and derangements of prime power order. ⋮ Products of derangements in simple permutation groups ⋮ Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution. ⋮ Conjugacy classes of derangements in finite transitive groups ⋮ The number of regular semisimple conjugacy classes in the finite classical groups. ⋮ Power series coefficients for probabilities in finite classical groups ⋮ Covering and growth for group subsets and representations ⋮ Solubilizers in profinite groups ⋮ On the probability of generating invariably a finite simple group ⋮ Invariable generation of permutation and linear groups ⋮ Cycle indices for finite orthogonal groups of even characteristic ⋮ Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston–Shalev conjecture ⋮ On the number of derangements and derangements of prime power order of the affine general linear groups ⋮ The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina ⋮ Invariable generation of finite classical groups ⋮ On fixed points of permutations. ⋮ Almost elusive permutation groups

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