Schützenberger group
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In abstract algebra, in semigroup theory, a Schützenberger group is a certain group associated with a Green H-class of a semigroup.[1] The Schützenberger 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 Schützenberger group of the H-class would be isomorphic to the H-class. In fact, there are two Schützenberger groups associated with a given H-class and each is antiisomorphic to the other.
The Schützenberger group was discovered by Marcel-Paul Schützenberger in 1957[2][3] and the terminology was coined by A. H. Clifford.[4]