Quasihomomorphisms to real algebraic groups
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911483002093568 |
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| author | Douba, Sami Fournier-Facio, Francesco Hughes, Sam Machado, Simon |
| author_facet | Douba, Sami Fournier-Facio, Francesco Hughes, Sam Machado, Simon |
| contents | A quasihomomorphism is a map that satisfies the homomorphism relation up to bounded error. Fujiwara and Kapovich proved a rigidity result for quasihomomorphisms taking values in discrete groups, showing that all quasihomomorphisms can be built from homomorphisms and sections of bounded central extensions. We study quasihomomorphisms with values in real linear algebraic groups, and prove an analogous rigidity theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22411 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasihomomorphisms to real algebraic groups Douba, Sami Fournier-Facio, Francesco Hughes, Sam Machado, Simon Group Theory A quasihomomorphism is a map that satisfies the homomorphism relation up to bounded error. Fujiwara and Kapovich proved a rigidity result for quasihomomorphisms taking values in discrete groups, showing that all quasihomomorphisms can be built from homomorphisms and sections of bounded central extensions. We study quasihomomorphisms with values in real linear algebraic groups, and prove an analogous rigidity theorem. |
| title | Quasihomomorphisms to real algebraic groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2601.22411 |