On the order of uniprimitive permutation groups
From MaRDI portal
Publication:1164133
DOI10.2307/2006997zbMath0485.20002OpenAlexW2149149668MaRDI QIDQ1164133
Publication date: 1981
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2006997
Analysis of algorithms and problem complexity (68Q25) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other designs, configurations (05B30) Primitive groups (20B15) General theory for finite permutation groups (20B05)
Related Items
On fixity of arc-transitive graphs ⋮ On the minimal degree of a transitive permutation group with stabilizer a 2-group ⋮ Regular orbits of symmetric and alternating groups ⋮ The minimum length of a base for the symmetric group acting on partitions ⋮ A theory of semiprimitive groups ⋮ Asymptotic results for primitive permutation groups ⋮ On the base size and rank of a primitive permutation group ⋮ A proof of Pyber's base size conjecture ⋮ On the geometric graph isomorphism problem ⋮ Asymmetric coloring of locally finite graphs and profinite permutation groups: Tucker's conjecture confirmed ⋮ Bases of twisted wreath products ⋮ Ewens Sampling and Invariable Generation ⋮ On Random Generation of the Symmetric Group ⋮ On the length of subgroup chains in the symmetric group ⋮ ON THE HEIGHT AND RELATIONAL COMPLEXITY OF A FINITE PERMUTATION GROUP ⋮ On the involution fixity of exceptional groups of Lie type ⋮ Bases of Schurian antisymmetric coherent configurations and an isomorphism test for Schurian tournaments ⋮ Irreducible polynomials of bounded height ⋮ The \(k\)-metric dimension ⋮ Identifying codes in vertex-transitive graphs and strongly regular graphs ⋮ Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications ⋮ On the metric dimension of bilinear forms graphs ⋮ Minimal degree, base size, order: selected topics on primitive permutation groups ⋮ On the automorphism groups of rank-4 primitive coherent configurations ⋮ Metric dimension of dual polar graphs ⋮ Fixed point polynomials of permutation groups. ⋮ On the order of doubly transitive permutation groups ⋮ Unnamed Item ⋮ On the orders of primitive groups with restricted nonabelian composition factors ⋮ Most primitive groups are full automorphism groups of edge-transitive hypergraphs. ⋮ On the automorphism groups of strongly regular graphs. II. ⋮ Conway’s groupoid and its relatives ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree ⋮ The (weighted) metric dimension of graphs: hard and easy cases ⋮ A characterization of Johnson and Hamming graphs and proof of Babai's conjecture ⋮ Base sizes for primitive groups with soluble stabilisers ⋮ On the metric dimension of incidence graphs ⋮ On the metric dimension of imprimitive distance-regular graphs ⋮ Permutation groups, minimal degrees and quantum computing. ⋮ The weighted 2-metric dimension of trees in the non-landmarks model ⋮ Almost all quasigroups have rank 2 ⋮ On the number of fixed point free elements in a permutation group ⋮ Asymptotically optimal induced universal graphs ⋮ Base sizes of primitive groups: bounds with explicit constants ⋮ An optimal lower bound on the number of variables for graph identification ⋮ Rigidity and separation indices of Paley graphs ⋮ Bounds on finite quasiprimitive permutation groups ⋮ Simple groups, permutation groups, and probability ⋮ Upper bounds given by equitable partitions of a primitive association scheme ⋮ Conway groupoids and completely transitive codes ⋮ The probability of generating the symmetric group ⋮ On short expressions for cosets of permutation subgroups ⋮ On the spectral gap and the automorphism group of distance-regular graphs ⋮ Asymptotic enumeration of Cayley digraphs ⋮ On base sizes for almost simple primitive groups ⋮ On the orders of doubly transitive permutation groups, elementary estimates ⋮ On the Saxl graph of a permutation group ⋮ On the metric dimension of the folded \(n\)-cube ⋮ On fixed points of permutations. ⋮ On the number of fixed points of automorphisms of vertex-transitive graphs ⋮ On the degree of transitivity of permutation groups: A short proof ⋮ Permutation group approach to association schemes ⋮ On a new high dimensional Weisfeiler-Lehman algorithm ⋮ Finite simple groups and finite primitive permutation groups ⋮ Recognising tensor-induced matrix groups. ⋮ On minimal degrees and base sizes of primitive permutation groups ⋮ On the intricacy of combinatorial construction problems ⋮ On the orders of primitive groups ⋮ Fixed point ratios for finite primitive groups and applications ⋮ On groups with no regular orbits on the set of subsets ⋮ Permutation groups without exponentially many orbits on the power set
