The Chebotarev Invariant of a Finite Group

DOI10.1080/10586458.2011.565261zbMath1277.20080arXiv1008.4909OpenAlexW2593609794MaRDI QIDQ2883922

David Zywina, Emmanuel Kowalski

Publication date: 14 May 2012

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4909

zbMATH Keywords

conjugacy classesGalois groupsprobabilistic group theoryChebotarev density theoremrandom permutationsinvariable generations

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Separable extensions, Galois theory (12F10) Generators, relations, and presentations of groups (20F05) Symmetric groups (20B30) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items (7)

Invariable generation and the Chebotarev invariant of a finite group. ⋮ On the probability of generating invariably a finite simple group ⋮ The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina ⋮ Finite groups with large Chebotarev invariant ⋮ Permutations contained in transitive subgroups ⋮ Coprime invariable generation and minimal-exponent groups. ⋮ An upper bound on the Chebotarev invariant of a finite group

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