On the number of derangements and derangements of prime power order of the affine general linear groups
type: Item
instance of: scholarly article
title: On the number of derangements and derangements of prime power order of the affine general linear groups
zbMATH Open document ID: 1472.05011
author: Pablo Spiga
published in: Journal of Algebraic Combinatorics
publication date: 2017-03-23T00:00:00Z
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 20B05
zbMATH DE Number: 6696834
zbMATH Keywords: derangement
zbMATH Keywords: primitive group
zbMATH Keywords: cycle index
zbMATH Keywords: affine general linear group
describes a project that uses: MathOverflow
MaRDI profile type: Publication
full work available at URL: s10801-016-0709-3
OpenAlex ID: W2513768504
cites work: Q4146776
cites work: The proportion of fixed-point-free elements of a transitive permutation group
cites work: Classical Groups, Derangements and Primes
cites work: On fixed points of permutations.
cites work: The probability that a matrix be nilpotent
cites work: Cycle indices for the finite classical groups
cites work: Finite affine groups: cycle indices, Hall-Littlewood polynomials, and probabilistic algorithms
cites work: Q4426039
cites work: Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston–Shalev conjecture
cites work: Derangements in subspace actions of finite classical groups
cites work: Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements.
cites work: On a relation between the rank and the proportion of derangements in finite transitive permutation groups.
cites work: Q3259107
cites work: Q3105730
cites work: An Erdős-Ko-Rado theorem for the derangement graph of PGL(\(2,q\)) acting on the projective line
cites work: An Erdös--Ko--Rado Theorem for the Derangement Graph of ${PGL}_3(q)$ Acting on the Projective Plane
cites work: An Erdős-Ko-Rado theorem for finite 2-transitive groups
cites work: On a theorem of Jordan
cites work: Some asymptotic results on finite vector spaces
cites work: Partial Theta Functions. I. Beyond the Lost Notebook
DOI: 10.1007/S10801-016-0709-3
description: scientific article; zbMATH DE number 6696834