On the degrees of primitive permutation groups

DOI10.1007/BF01318900zbMath0471.20002OpenAlexW2095103232MaRDI QIDQ1157394

David N. Teague, Peter J. Cameron, Peter M. Neumann

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173177

zbMATH Keywords

primitive permutation groupssymmetric and alternating groups

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Primitive groups (20B15) Characterization theorems for permutation groups (20B10)

Related Items (22)

Imprimitive permutations in primitive groups ⋮ On the Mumford-Tate group of an abelian variety with complex multiplication ⋮ A theory of semiprimitive groups ⋮ Random Permutations: Some Group-Theoretic Aspects ⋮ THE DENSITY OF SUBGROUP INDICES ⋮ Pre-primitive permutation groups ⋮ Automorphism groups of maps, hypermaps and dessins ⋮ Topology of subgroup lattices of symmetric and alternating groups. ⋮ The primitive permutation groups of degree less than 1000 ⋮ Large subgroups of simple groups. ⋮ Block-transitive \(t\)-designs. I: Point-imprimitive designs ⋮ Finite groups ⋮ Line-primitive \(2\)-\((v,k,1)\) designs with \(k/(k,v)\leq 10\) ⋮ Bounds on finite quasiprimitive permutation groups ⋮ Cayley properties of merged Johnson graphs ⋮ Primitive permutation groups and their section-regular partitions. ⋮ Permutations contained in transitive subgroups ⋮ Regular subgroups of primitive permutation groups ⋮ Finite simple groups and finite primitive permutation groups ⋮ The proportion of fixed-point-free elements of a transitive permutation group ⋮ Non-Cayley vertex-transitive graphs of order twice the product of two odd primes ⋮ Permutation groups, simple groups, and sieve methods

Cites Work

• Permutation representations of the finite classical groups of small degree or rank
• The primitive permutation groups of some special degrees. II: Small multiples of certain large primes
• Minimal degree for a permutation representation of a classical group
• On the orders of Primitive Permutation Groups
• Finite Permutation Groups and Finite Simple Groups
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