An improved characterisation of inner automorphisms of groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911660465192960 |
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| author | Fournier-Facio, Francesco |
| author_facet | Fournier-Facio, Francesco |
| contents | We show that every group $G$ embeds malnormally into a simple, complete co-Hopfian group $H$. This implies that a non-trivial endomorphism of $G$ extends to $H$ if and only if it is an inner automorphism, strengthening a theorem of Schupp and answering a question of Bergman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05728 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An improved characterisation of inner automorphisms of groups Fournier-Facio, Francesco Group Theory We show that every group $G$ embeds malnormally into a simple, complete co-Hopfian group $H$. This implies that a non-trivial endomorphism of $G$ extends to $H$ if and only if it is an inner automorphism, strengthening a theorem of Schupp and answering a question of Bergman. |
| title | An improved characterisation of inner automorphisms of groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2604.05728 |