Any group is a maximal subgroup of the semigroup of binary relations on some set

DOI10.1017/S0017089500001683zbMath0253.20092OpenAlexW1964668937MaRDI QIDQ5666775

G. B. Preston

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1017/s0017089500001683

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20F99) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (3)

Semigroups generated by partitions ⋮ Structure of the rational monoid algebra for Boolean matrices of order 3 ⋮ A proof of Devadze's theorem on generators of the semigroup of Boolean matrices.

Cites Work

• Maximal subgroups of the semigroup of relations
• Groups of binary relations
• A proof of the Montague-Plemmons-Schein theorem on maximal subgroups of the semigroup of binary relations

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