Invariable generation of the symmetric group

DOI10.1215/00127094-0000007XzbMath1475.20098arXiv1508.01870MaRDI QIDQ2012195

Sean Eberhard, Kevin Ford

Publication date: 28 July 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01870

zbMATH Keywords

symmetric grouprandom generatorsinvariable generation

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Combinatorial probability (60C05) Symmetric groups (20B30) Probabilistic methods in group theory (20P05) Combinatorial aspects of groups and algebras (05E16)

Related Items (13)

A note on invariable generation of nonsolvable permutation groups ⋮ Products of derangements in simple permutation groups ⋮ Ewens Sampling and Invariable Generation ⋮ Divisibility of binomial coefficients and generation of alternating groups ⋮ Irreducible polynomials of bounded height ⋮ On the probability of generating invariably a finite simple group ⋮ Invariable generation does not pass to finite index subgroups ⋮ The invariably generating graph of the alternating and symmetric groups ⋮ Invariable generation of permutation and linear groups ⋮ Invariable generation of finite classical groups ⋮ Minimal invariable generating sets ⋮ The characteristic polynomial of a random matrix ⋮ On invariable generation of alternating groups by elements of prime and prime power order

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