Infinite families of triangle presentations
| Title: | Infinite families of triangle presentations |
|---|---|
| Authors: | Loué, Alex |
| Publication Year: | 2024 |
| Collection: | Mathematics |
| Subject Terms: | Mathematics - Group Theory, Mathematics - Combinatorics, 20F65 (Primary) 51E24, 11F06 (Secondary) |
| More Details: | A triangle presentation is a combinatorial datum that encodes the action of a group on a $2$-dimensional triangle complex with prescribed links, which is simply transitive on the vertices. We provide the first infinite family of triangle presentations that give rise to lattices in exotic buildings of type $\widetilde{\text{A}_2}$ of arbitrarily large order. Our method also gives rise to infinite families of triangle presentations for other link types, such as opposition complexes in Desarguesian projective planes. Comment: 23 pages, 6 figures, 5 tables |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2408.15763 |
| Accession Number: | edsarx.2408.15763 |
| Database: | arXiv |
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| RecordInfo | BibRecord: BibEntity: Subjects: – SubjectFull: Mathematics - Group Theory Type: general – SubjectFull: Mathematics - Combinatorics Type: general – SubjectFull: 20F65 (Primary) 51E24, 11F06 (Secondary) Type: general Titles: – TitleFull: Infinite families of triangle presentations Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Loué, Alex IsPartOfRelationships: – BibEntity: Dates: – D: 28 M: 08 Type: published Y: 2024 |
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