Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston–Shalev conjecture

DOI10.1090/tran/7377zbMath1494.20076arXiv1508.00039OpenAlexW2427028772WikidataQ123166808 ScholiaQ123166808MaRDI QIDQ4635472

Jason Fulman, Robert M. Guralnick

Publication date: 23 April 2018

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

Full work available at URL: https://arxiv.org/abs/1508.00039

zbMATH Keywords

random matrixpermutation groupderangementfinite classical group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Primitive groups (20B15)

Related Items (14)

An Erdős-Ko-Rado theorem for finite 2-transitive groups ⋮ Primitive permutation groups and derangements of prime power order. ⋮ Products of derangements in simple permutation groups ⋮ Conjugacy classes of derangements in finite transitive groups ⋮ Derangements in subspace actions of finite classical groups ⋮ Covering and growth for group subsets and representations ⋮ Derangements in wreath products of permutation groups ⋮ On the probability of generating invariably a finite simple group ⋮ Invariable generation of permutation and linear groups ⋮ On a relation between the rank and the proportion of derangements in finite transitive permutation groups. ⋮ 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 ⋮ Almost elusive permutation groups

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