Groups associated with finite transformation semigroups

zbMath0966.20031MaRDI QIDQ1590073

Donald B. McAlister, Robert B. McFadden, Inessa Levi

Publication date: 16 July 2001

Published in: Semigroup Forum (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsinner automorphismscongruencesgenerating setsalternating groupsidealsconjugatessemigroups of mappingspartial mappings\(S_n\)-normal semigroupstotal mappings

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05)

Related Items (10)

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 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 ⋮ Congruences on direct products of transformation and matrix monoids ⋮ \(D_n\)-normal semigroups of transformations. ⋮ Two generalizations of homogeneity in groups with applications to regular semigroups ⋮ The classification of partition homogeneous groups with applications to semigroup theory

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