Automorphism growth and group decompositions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866915855001976832 |
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| author | Fioravanti, Elia |
| author_facet | Fioravanti, Elia |
| contents | Let $G$ be a finitely generated group with an automorphism $φ\in{\rm Aut}(G)$, or an outer automorphism $ϕ\in{\rm Out}(G)$. Suppose that $G$ decomposes into simpler pieces on which the growth behaviour of $φ$ and $ϕ$ is known, particularly as a direct product, free product, or graph of groups. This article is devoted to the (often not entirely straightforward) problem of deducing information about the growth rates of $φ$ and $ϕ$ on the whole $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11115 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Automorphism growth and group decompositions Fioravanti, Elia Group Theory Geometric Topology Let $G$ be a finitely generated group with an automorphism $φ\in{\rm Aut}(G)$, or an outer automorphism $ϕ\in{\rm Out}(G)$. Suppose that $G$ decomposes into simpler pieces on which the growth behaviour of $φ$ and $ϕ$ is known, particularly as a direct product, free product, or graph of groups. This article is devoted to the (often not entirely straightforward) problem of deducing information about the growth rates of $φ$ and $ϕ$ on the whole $G$. |
| title | Automorphism growth and group decompositions |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2603.11115 |