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arXiv · 1411.6360

Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups

Alexander Fel'shtyn·Jang Hyun Jo·Jong Bum Lee
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Abstract

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.

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Alexander Fel'shtyn, Jang Hyun Jo, Jong Bum Lee. 2014-11-24. Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups. https://arxiv.org/abs/1411.6360

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