Two generalizations of homogeneity in groups with applications to regular semigroups

DOI10.1090/tran/6368zbMath1375.20003arXiv1204.2195OpenAlexW2592361726MaRDI QIDQ2796517

Peter J. Cameron, João Araújo

Publication date: 29 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2195

zbMATH Keywords

permutation groupsregular semigroupsprimitive groupstransformation semigroupshomogeneous groups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Regular semigroups (20M17) Symmetric groups (20B30) Primitive groups (20B15) Subgroups of symmetric groups (20B35)

Related Items (11)

Imprimitive permutations in primitive groups ⋮ The classification of normalizing 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 ⋮ Primitive groups, graph endomorphisms and synchronization ⋮ Primitive permutation groups and strongly factorizable transformation semigroups ⋮ Variants of epigroups and primary conjugacy ⋮ The existential transversal property: A generalization of homogeneity and its impact on semigroups ⋮ Congruences on direct products of transformation and matrix monoids ⋮ Chains of subsemigroups ⋮ The classification of partition homogeneous groups with applications to semigroup theory

Uses Software

• GAP
• GRAPE

Cites Work

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