Linearity criteria for automorphism groups of malabelian groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912652249268224 |
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| author | Koberda, Thomas Pengitore, Mark |
| author_facet | Koberda, Thomas Pengitore, Mark |
| contents | Let $G$ be a finitely generated malabelian group, let $A\leq\mathrm{Out}(G)$ be a finitely generated subgroup, and let $Γ_{G,A}$ denote the preimage of $A$ in $\mathrm{Aut}(G)$. We give a general criterion for the linearity of $Γ_{G,A}$ in terms of surjections from $G$ to finite simple groups of Lie type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linearity criteria for automorphism groups of malabelian groups Koberda, Thomas Pengitore, Mark Group Theory Let $G$ be a finitely generated malabelian group, let $A\leq\mathrm{Out}(G)$ be a finitely generated subgroup, and let $Γ_{G,A}$ denote the preimage of $A$ in $\mathrm{Aut}(G)$. We give a general criterion for the linearity of $Γ_{G,A}$ in terms of surjections from $G$ to finite simple groups of Lie type. |
| title | Linearity criteria for automorphism groups of malabelian groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.14571 |