{"user_id":"121813","external_id":{"arxiv":["2511.08312"]},"year":"2025","page":"29","citation":{"short":"F. Stamer, T. Titz Mite, (2025).","chicago":"Stamer, Franziska, and Thomas  Titz Mite. “On Chamber-Regular C̃₂-Lattices,” 2025.","apa":"Stamer, F., &#38; Titz Mite, T. (2025). <i>On Chamber-regular C̃₂-Lattices</i>.","ama":"Stamer F, Titz Mite T. On Chamber-regular C̃₂-Lattices. Published online 2025.","ieee":"F. Stamer and T. Titz Mite, “On Chamber-regular C̃₂-Lattices.” 2025.","mla":"Stamer, Franziska, and Thomas Titz Mite. <i>On Chamber-Regular C̃₂-Lattices</i>. 2025.","bibtex":"@article{Stamer_Titz Mite_2025, title={On Chamber-regular C̃₂-Lattices}, author={Stamer, Franziska and Titz Mite, Thomas }, year={2025} }"},"title":"On Chamber-regular C̃₂-Lattices","_id":"62262","type":"preprint","date_updated":"2025-11-26T15:09:58Z","date_created":"2025-11-19T15:09:51Z","abstract":[{"text":"We construct the first examples of chamber-regular lattices on C̃₂-buildings. Assuming a conjecture of Kantor our list of examples becomes a classification for chamber-regular C̃₂-lattices on locally-finite C̃₂-buildings. The links of special vertices in the buildings we construct, are all isomorphic to (the incidence graph of) the unique generalized quadrangle Q of order (3,5). In particular our constructions involve chamber-regular actions on Q. These actions on Q are the first (and if Kantor's conjecture holds the only) chamber-regular actions on a finite generalized quadrangle and therefore interesting in their own right. Moreover Q is not Moufang and therefore none of our examples is a Bruhat-Tits building and all our lattices are exotic building lattices.","lang":"eng"}],"language":[{"iso":"eng"}],"department":[{"_id":"10"}],"author":[{"full_name":"Stamer, Franziska","last_name":"Stamer","id":"121813","first_name":"Franziska"},{"first_name":"Thomas ","last_name":"Titz Mite","full_name":"Titz Mite, Thomas "}],"status":"public"}