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Relative growth in hyperbolic groups
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Cantrell, Stephen and Sharp, Richard (2021) Relative growth in hyperbolic groups. Monatshefte fur Mathematik, 195 . pp. 1-13. doi:10.1007/s00605-021-01511-1 ISSN 0026-9255.
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Official URL: https://doi.org/10.1007/s00605-021-01511-1
Abstract
In this note we obtain estimates on the relative growth of normal subgroups of non-elementary hyperbolic groups, particularly those with free abelian quotient. As a corollary, we deduce that the associated relative growth series fail to be rational.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Hyperbolic groups, Generating functions, Geometry, Hyperbolic | |||||||||
Journal or Publication Title: | Monatshefte fur Mathematik | |||||||||
Publisher: | Springer Vienna | |||||||||
ISSN: | 0026-9255 | |||||||||
Official Date: | 27 January 2021 | |||||||||
Dates: |
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Volume: | 195 | |||||||||
Page Range: | pp. 1-13 | |||||||||
DOI: | 10.1007/s00605-021-01511-1 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||
Date of first compliant deposit: | 7 January 2021 | |||||||||
Date of first compliant Open Access: | 8 February 2021 | |||||||||
RIOXX Funder/Project Grant: |
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