Quasi-affine and quasi-quadratic maps of groups with non-abelian targets
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912409475612672 |
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| author | Moravec, Primoz |
| author_facet | Moravec, Primoz |
| contents | It is shown that the middle quasi-homomorphisms of Fujiwara and Kapovich are precisely constant perturbations of quasi-homomorphisms. Quasi-polynomial maps are defined and their constructibility is explored. In particular, it is shown that a large class of quasi-quadratic maps into torsion-free hyperbolic groups is rigid with respect to bounded perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-affine and quasi-quadratic maps of groups with non-abelian targets Moravec, Primoz Group Theory It is shown that the middle quasi-homomorphisms of Fujiwara and Kapovich are precisely constant perturbations of quasi-homomorphisms. Quasi-polynomial maps are defined and their constructibility is explored. In particular, it is shown that a large class of quasi-quadratic maps into torsion-free hyperbolic groups is rigid with respect to bounded perturbations. |
| title | Quasi-affine and quasi-quadratic maps of groups with non-abelian targets |
| topic | Group Theory |
| url | https://arxiv.org/abs/2506.01577 |