Anti-tori in quaternionic lattices over \(\mathbb{F}_q(t)\)

An anti-torus in a CAT(0) group is a subgroup \(\langle a,b\rangle\), where \(a\) and \(b\) do not have commuting powers. We study anti-tori in quaternionic lattices \(\Gamma_\tau\) over the field \(\mathbb{F}_q(t)\) introduced by Stix-Vdovina (2017). We determine when every pair of generators of \(...

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Bibliographic Details
Date:2024
Main Authors: Bondarenko, Ievgen, Bondarenko, Nataliia
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2217
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics