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  Growth rate for endomorphisms of finitely generated nilpotent groups

Fel'shtyn, A., Jo, J. H., & Lee, J. B. (2020). Growth rate for endomorphisms of finitely generated nilpotent groups. Journal of Group Theory, 23(6), 945-964. doi:10.1515/jgth-2020-0097.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-F062-C Version Permalink: https://hdl.handle.net/21.11116/0000-0007-A952-E
Genre: Journal Article

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Felshtyn-Jo-Lee_Growth rate for endomorphisms of finitely generated nilpotent groups_2020.pdf (Publisher version), 237KB
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Open Access. © 2020 Fel’shtyn, Jo and Lee, published by De Gruyter. This work is licensed under the Creative Commons Attribution 4.0 International License
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https://creativecommons.org/licenses/by/4.0/

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 Creators:
Fel'shtyn, Alexander1, Author           
Jo, Jang Hyun, Author
Lee, Jong Bum, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Group Theory, Dynamical Systems
 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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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 20
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1411.6360
URI: http://arxiv.org/abs/1411.6360
DOI: 10.1515/jgth-2020-0097
 Degree: -

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Title: Journal of Group Theory
  Abbreviation : J. Group Theory
Source Genre: Journal
 Creator(s):
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Publ. Info: De Gruyter
Pages: - Volume / Issue: 23 (6) Sequence Number: - Start / End Page: 945 - 964 Identifier: -