The Schützenberger Group of an H-class in the Semigroup of Binary Relations
K. A. Zaretskii has associated a lattice V(α) with each binary relation α, and he has shown that Hα is isomorphic with the group of all automorphisms of V(α) if Hα is a group. This result is extended in this paper by showing that for any binary relation α, the Schützenberger group Γ (Hα) is isomorphic with the group of all automorphisms of V(α).
R. L. Brandon et al., "The Schützenberger Group of an H-class in the Semigroup of Binary Relations," Semigroup Forum, vol. 5, no. 1, pp. 45 - 53, Springer Verlag, Dec 1972.
The definitive version is available at https://doi.org/10.1007/BF02572873
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© 1972 Springer Verlag, All rights reserved.
01 Dec 1972