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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2507.16662 |
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| _version_ | 1866911070521655296 |
|---|---|
| author | Iveson, Harry |
| author_facet | Iveson, Harry |
| contents | We construct a `nice' subcomplex of the Outer Space for a free product in order to give a geometric proof that the pure symmetric outer automorphisms of a given splitting of a free product are generated by factor outer automorphisms and Whitehead outer automorphisms relative to the splittting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16662 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generators for the Pure Symmetric Outer Automorphisms of a Free Product Iveson, Harry Group Theory We construct a `nice' subcomplex of the Outer Space for a free product in order to give a geometric proof that the pure symmetric outer automorphisms of a given splitting of a free product are generated by factor outer automorphisms and Whitehead outer automorphisms relative to the splittting. |
| title | Generators for the Pure Symmetric Outer Automorphisms of a Free Product |
| topic | Group Theory |
| url | https://arxiv.org/abs/2507.16662 |