A virtually 2-step nilpotent group with polynomial geodesic growth

A direct consequence of Gromov's theorem is that if a group has polynomial geodesic growth with respect to some finite generating set then it is virtually nilpotent. However, until now the only examples known were virtually abelian. In this note we furnish an example of a virtually 2-step nilpo...

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Bibliographic Details
Date:2022
Main Authors: Bishop, A., Elder, M.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2022
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1667
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics