Asymptotic Results for Transitive Permutation Groups

DOI10.1112/S0024609399006591zbMath1021.20002OpenAlexW1982593294MaRDI QIDQ4487658

Federico Menegazzo, Andrea Lucchini, Marta Morigi

Publication date: 22 June 2000

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609399006591

zbMATH Keywords

numbers of generatorsfinite transitive permutation groupsnumbers of transitive subgroupssoluble transitive permutation groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items (11)

Minimal generation of transitive permutation groups ⋮ The transitive groups of degree 48 and some applications ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ The size of a minimal generating set for primitive \(\frac{3}{2} \)-transitive groups ⋮ A subexponential bound on the cardinality of abelian quotients in finite transitive groups ⋮ THE CONTRIBUTION OF L. G. KOVÁCS TO THE THEORY OF PERMUTATION GROUPS ⋮ THE GRADED CENTER OF A TRIANGULATED CATEGORY ⋮ Asymptotic results for primitive permutation groups and irreducible linear groups. ⋮ Invariable generation of permutation and linear groups ⋮ Normalizers of primitive permutation groups ⋮ Asymptotic enumeration of Cayley digraphs

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