Profiniteness of higher rank volume
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910749762256896 |
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| author | Kammeyer, Holger Kionke, Steffen Köhl, Ralf |
| author_facet | Kammeyer, Holger Kionke, Steffen Köhl, Ralf |
| contents | We show that the covolume of an irreducible lattice in a higher rank semisimple Lie group with the congruence subgroup property is determined by the profinite completion. Without relying on CSP, we additionally show that volume is a profinite invariant of octonionic hyperbolic congruence manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13056 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Profiniteness of higher rank volume Kammeyer, Holger Kionke, Steffen Köhl, Ralf Group Theory 22E40, 20E18 We show that the covolume of an irreducible lattice in a higher rank semisimple Lie group with the congruence subgroup property is determined by the profinite completion. Without relying on CSP, we additionally show that volume is a profinite invariant of octonionic hyperbolic congruence manifolds. |
| title | Profiniteness of higher rank volume |
| topic | Group Theory 22E40, 20E18 |
| url | https://arxiv.org/abs/2412.13056 |