Mészáros, András (2025) The 2-torsion of determinantal hypertrees is not Cohen-Lenstra. ISRAEL JOURNAL OF MATHEMATICS. ISSN 0021-2172 (In Press)
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Official URL: https://doi.org/10.1007/s11856-025-2873-4
Abstract
Let Tn be a 2-dimensional determinantal hypertree on n vertices. Kahle and Newman conjectured that the p-torsion of H1(Tn,Z) asymptotically follows the Cohen-Lenstra distribution. For p=2, we disprove this conjecture by showing that given a positive integer h, for all large enough n, we have P(dimH1(Tn,F2)≥h)≥e−200h(100h)5h. We also show that Tn is a bad cosystolic expander with positive probability.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 23 Feb 2026 10:23 |
| Last Modified: | 23 Feb 2026 10:23 |
| URI: | https://real.mtak.hu/id/eprint/234816 |
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