Abelianization of the Cartwright-Steger lattice
The Cartwright-Steger lattice is a group whose Cayley graph can be identified with the Bruhat-Tits building of \(\operatorname{PGL}_d\) over a local field of positive characteristic. We give a lower bound on the abelianization of this lattice, and report that the bound is tight in all computationall...
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2023
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1966 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | The Cartwright-Steger lattice is a group whose Cayley graph can be identified with the Bruhat-Tits building of \(\operatorname{PGL}_d\) over a local field of positive characteristic. We give a lower bound on the abelianization of this lattice, and report that the bound is tight in all computationally accessible cases. |
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