Groups that together with any transformation generate regular semigroups or idempotent generated semigroups.

DOI10.1016/j.jalgebra.2011.07.002zbMath1241.20071arXiv0911.0445OpenAlexW2102235903MaRDI QIDQ661898

Csaba Schneider, James D. Mitchell, João Araújo

Publication date: 11 February 2012

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

Full work available at URL: https://arxiv.org/abs/0911.0445

zbMATH Keywords

idempotentssymmetric groupsfinite permutation groupsregular semigroupsalternating groupsprimitive groupstransformation semigroups

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 (9)

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 ⋮ The existential transversal property: A generalization of homogeneity and its impact on semigroups ⋮ The largest subsemilattices of the endomorphism monoid of an independence algebra. ⋮ Two generalizations of homogeneity in groups with applications to regular semigroups ⋮ The classification of partition homogeneous groups with applications to semigroup theory

Uses Software

• GAP

Cites Work

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• Quasiprimitive groups and blow-up decompositions.
• Primitive permutation groups and their section-regular partitions.
• Groups and actions in transformation semigroups
• Groups associated with finite transformation semigroups
• Computing transformation semigroups
• On the orders of primitive groups
• Independence algebras
• Synchronizing groups and automata
• Groups, Semilattices and Inverse Semigroups. II
• Automorphisms of transformation semigroups
• A Note onE-Unitary Inverse Semigroups
• S_n-normal semigroups
• Semigroups generated by a group and an idempotent
• Independence Algebras
• On the inner automorphisms of finite transformation semigroups
• CORES OF SYMMETRIC GRAPHS
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

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