G. B. Preston’s research while affiliated with Monash University (Australia) and other places

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Publications (1)

Schützenberger groups ofH-classes in the semigroup of all binary relations on a set
  • Article

December 1973

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9 Reads

Semigroup Forum

G. B. Preston

In a recent paper [1972], R. L. Brandon, D. W. Hardy, and G. Markowsky, showed that the Schützenberger group Γ(H) of anH-class H inB X is isomorphic to the automorphism group of a lattice V associated with H. For H a group this result is due to K.A. Zaretskiî [1963]. In this note we show that a small modification of Zaretskiî's method for H a group simultaneously gives the result of Brandon, Hardy and Markowsky.