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

• Datum: 2024
• Hauptverfasser: Bondarenko, Ievgen, Bondarenko, Nataliia
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2024
• Schlagworte: anti-torus; quaternionic lattice; free subgroup; 11R52; 20F65; 20F67
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2217
• Назва журналу: Algebra and Discrete Mathematics

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 \(...