The Schützenberger group of anH-class in the semigroup of binary relations |
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| Authors: | R L Brandon D W Hardy G Markowsky |
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| Institution: | (1) Colorado State University, 80521 Fort Collins, Colorado;(2) Harvard University, Cambridge, Massachusetts 02138 |
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| Abstract: | 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). |
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