%0 Journal Article
%T Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups
%A Alexander Fel'shtyn
%A Jang Hyun Jo
%A Jong Bum Lee
%J Mathematics
%D 2014
%I arXiv
%X We prove that the growth rate of an endomorphism of a finitely generated nilpotent group equals to the growth rate of induced endomorphism on its abelinization, generalizing the corresponding result for an automorphism in [14]. We also study growth rates of endomorphisms for specific solvable groups, lattices of Sol, providing a counterexample to a known result in [5] and proving that the growth rate is an algebraic number.
%U http://arxiv.org/abs/1411.6360v2