Asymptotic results for primitive permutation groups and irreducible linear groups.

DOI10.1006/jabr.1999.8081zbMath1063.20501OpenAlexW2079894064MaRDI QIDQ1969121

Andrea Lucchini, Federico Menegazzo, Marta Morigi

Publication date: 14 August 2000

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

Full work available at URL: https://semanticscholar.org/paper/3d503da5eedb99ccc1a6bec72171a2a5502beb28

zbMATH Keywords

numbers of generatorsfinite primitive permutation groupsasymptotic group theoryfinite completely reducible linear groupsprimitive irreducible subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Asymptotic results on counting functions for algebraic and topological structures (11N45) Primitive groups (20B15)

Related Items (10)

Imprimitive permutations in primitive groups ⋮ Comparing the order and the minimal number of generators of a finite irreducible linear group ⋮ 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 ⋮ Random generation of finite and profinite groups and group enumeration. ⋮ Minimal and random generation of permutation and matrix groups. ⋮ Invariable generation of permutation and linear groups ⋮ On the number of generators and composition length of finite linear groups ⋮ Asymptotic enumeration of Cayley digraphs

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