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Growth rate for endomorphisms of finitely generated nilpotent groups
2020
Journal of group theroy
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AbstractWe prove that the growth rate of an endomorphism of a finitely generated nilpotent group is equal to the growth rate of the induced endomorphism on its abelianization, generalizing the corresponding result for an automorphism in [T. Koberda, Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups, In the Tradition of Ahlfors–Bers. VI, Contemp. Math. 590, American Mathematical Society, Providence 2013, 87–99].
doi:10.1515/jgth-2020-0097
fatcat:r4h6ayudivhwhh3utagphfhvwm