Is any given finite semigroup isomorphic to some finite semigroup S that consists of some subsets of some finite group G under the operation of set multiplication defined in the usual way? (i.e. the product of two subsets A,B of G is the set consisting of all (and only) those elements of G that result from multiplying some element in A times some element in B using the group operation defined on G).(adsbygoogle = window.adsbygoogle || []).push({});

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# Is a finite semigroup isomorphic to subsets of some group?

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