Generating minimally transitive permutation groups.

DOI10.1016/j.jalgebra.2016.04.021zbMath1347.20002arXiv1506.04256OpenAlexW2963969674MaRDI QIDQ296672

Gareth M. Tracey

Publication date: 23 June 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04256

zbMATH Keywords

finite permutation groupsnumbers of generatorscrown-based powersminimal generation of finite groupsminimally transitive permutation groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items (2)

Imprimitive permutations in primitive groups ⋮ Minimal generation of transitive permutation groups

Cites Work

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• Recognizing the prime divisors of the index of a proper subgroup.
• Generators for finite groups with a unique minimal normal subgroup
• Transitive subgroups of primitive permutation groups
• On solvable minimally transitive permutation groups.
• On a conjecture of G. E. Wall.
• Transitive permutation groups and groups with finite derived groups
• Probabilistic generation of finite groups with a unique minimal normal subgroups
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

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