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GROWTHS OF ENDOMORPHISMS OF FINITELY GENERATED SEMIGROUPS

GROWTHS OF ENDOMORPHISMS OF FINITELY GENERATED SEMIGROUPS

This paper studies the growths of endomorphisms of finitely generated semigroups. The growth is a certain dynamical characteristic describing how iterations of the endomorphism ‘stretch’ balls in the Cayley graph of the semigroup. We make a detailed study of the relation of the growth of an endomorphism of a finitely …