Automorphisms of a Free Centre-by-Centre-by-Metabelian Group of Rank 3
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917366205513728 |
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| author | Kofinas, C. E. |
| author_facet | Kofinas, C. E. |
| contents | Let $F_{3}$ be the free group of rank $3$ and let $G_{3} = F_{3}/[F_{3}^{\prime\prime}, F_{3}, F_{3}]$, that is, $G_{3}$ is a free centre-by-centre-by-metabelian group of rank $3$. We show that ${\rm Aut}(G_{3})$ contains a proper finitely generated subgroup that is dense with respect to the formal power series topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27648 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Automorphisms of a Free Centre-by-Centre-by-Metabelian Group of Rank 3 Kofinas, C. E. Group Theory Let $F_{3}$ be the free group of rank $3$ and let $G_{3} = F_{3}/[F_{3}^{\prime\prime}, F_{3}, F_{3}]$, that is, $G_{3}$ is a free centre-by-centre-by-metabelian group of rank $3$. We show that ${\rm Aut}(G_{3})$ contains a proper finitely generated subgroup that is dense with respect to the formal power series topology. |
| title | Automorphisms of a Free Centre-by-Centre-by-Metabelian Group of Rank 3 |
| topic | Group Theory |
| url | https://arxiv.org/abs/2603.27648 |