Finite groups with large Chebotarev invariant

DOI10.1007/s11856-019-1953-8zbMath1444.20018arXiv1811.10937OpenAlexW2995825207MaRDI QIDQ2303684

Gareth M. Tracey, Andrea Lucchini

Publication date: 4 March 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10937

zbMATH Keywords

finite groupsChebotarev invariantsinvariable generation

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Probabilistic methods in group theory (20P05)

Cites Work

• Invariable generation and the Chebotarev invariant of a finite group.
• Random sets which invariably generate the symmetric group
• On the minimal degrees of projective representations of the finite Chevalley groups
• On complemented nonabelian chief factors of a finite group
• On the minimal degrees of projective representations of the finite Chevalley groups. II
• An upper bound on the Chebotarev invariant of a finite group
• Minimal and random generation of permutation and matrix groups.
• On a conjecture of G. E. Wall.
• The Chebotarev Invariant of a Finite Group
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina
• Classes of Finite Groups
• On the number of generators and composition length of finite linear groups
• Unnamed Item

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