High Quality Content by WIKIPEDIA articles! In abstract algebra, in semigroup theory, a Schutzenberger group is a certain group associated with a Green H-class of a semigroup. The Schutzenberger groups associated with different H-classes are different. However, the groups associated with two different H-classes contained in the same D-class of a semigroup are isomorphic. Moreover, if the H-class itself were a group, the Schutzenberger group of the H-class would be isomorphic to the H-class. In fact, there are two Schutzenberger groups aasociated with a given H-class and each is antiisomorphic to the other. The Schutzenberger group was discovered by Marcel-Paul Schutzenberger in 1957 and the terminology was coined by A. H. Clifford

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