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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| Дата: | 2023 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1966 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-1966 |
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admjournalluguniveduua-article-19662023-03-06T16:39:17Z Abelianization of the Cartwright-Steger lattice Blachar, G. Sela–Ben-David, O. Vishne, U. Bruhat-Tits affine building, Cartwright-Steger lattice, abelianization 20E42 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. Lugansk National Taras Shevchenko University Israel Science Foundation 2023-03-06 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1966 10.12958/adm1966 Algebra and Discrete Mathematics; Vol 34, No 2 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1966/pdf Copyright (c) 2023 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2023-03-06T16:39:17Z |
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OJS |
| language |
English |
| topic |
Bruhat-Tits affine building Cartwright-Steger lattice abelianization 20E42 |
| spellingShingle |
Bruhat-Tits affine building Cartwright-Steger lattice abelianization 20E42 Blachar, G. Sela–Ben-David, O. Vishne, U. Abelianization of the Cartwright-Steger lattice |
| topic_facet |
Bruhat-Tits affine building Cartwright-Steger lattice abelianization 20E42 |
| format |
Article |
| author |
Blachar, G. Sela–Ben-David, O. Vishne, U. |
| author_facet |
Blachar, G. Sela–Ben-David, O. Vishne, U. |
| author_sort |
Blachar, G. |
| title |
Abelianization of the Cartwright-Steger lattice |
| title_short |
Abelianization of the Cartwright-Steger lattice |
| title_full |
Abelianization of the Cartwright-Steger lattice |
| title_fullStr |
Abelianization of the Cartwright-Steger lattice |
| title_full_unstemmed |
Abelianization of the Cartwright-Steger lattice |
| title_sort |
abelianization of the cartwright-steger lattice |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1966 |
| work_keys_str_mv |
AT blacharg abelianizationofthecartwrightstegerlattice AT selabendavido abelianizationofthecartwrightstegerlattice AT vishneu abelianizationofthecartwrightstegerlattice |
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2025-12-02T15:45:56Z |
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2025-12-02T15:45:56Z |
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1850411955446087680 |