Primitive permutation groups and their section-regular partitions.

DOI10.1307/mmj/1242071695zbMath1178.20001OpenAlexW1965325185MaRDI QIDQ1024884

Peter M. Neumann

Publication date: 17 June 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1242071695

zbMATH Keywords

automatafinite permutation groupsprimitive groupssynchronizing groups

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Formal languages and automata (68Q45) Algebraic theory of languages and automata (68Q70) Primitive groups (20B15) General theory for finite permutation groups (20B05)

Related Items (21)

Imprimitive permutations in primitive groups ⋮ Orbits of primitive $k$-homogenous groups on $(n-k)$-partitions with applications to semigroups ⋮ A transversal property for permutation groups motivated by partial transformations ⋮ Groups synchronizing a transformation of non-uniform kernel ⋮ On two problems of almost synchronizing groups ⋮ Pre-primitive permutation groups ⋮ Primitive groups synchronize non-uniform maps of extreme ranks ⋮ Synchronising primitive groups of diagonal type exist ⋮ Primitive groups, graph endomorphisms and synchronization ⋮ Primitive permutation groups and strongly factorizable transformation semigroups ⋮ Groups that together with any transformation generate regular semigroups or idempotent generated semigroups. ⋮ The existential transversal property: A generalization of homogeneity and its impact on semigroups ⋮ Completely reachable automata, primitive groups and the state complexity of the set of synchronizing words ⋮ Congruences on direct products of transformation and matrix monoids ⋮ Černý's conjecture and group representation theory ⋮ Two generalizations of homogeneity in groups with applications to regular semigroups ⋮ Vertex-primitive digraphs having vertices with almost equal neighbourhoods ⋮ The classification of partition homogeneous groups with applications to semigroup theory ⋮ Imprimitive groups synchronizing a transformation of non-uniform kernel ⋮ Cliques and colorings in generalized Paley graphs and an approach to synchronization ⋮ Sync-maximal permutation groups equal primitive permutation groups

Cites Work

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• Primitive Permutationsgruppen vom Grad \(2p\)
• On factorizations of almost simple groups
• On the degrees of primitive permutation groups
• Synchronizing groups and automata
• Intersection matrices for finite permutation groups
• The Finite Primitive Permutation Groups of Rank Three
• On Representatives of Subsets
• CORES OF SYMMETRIC GRAPHS

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