Mathematics > Group Theory
arXiv:2510.14571 (math)
[Submitted on 16 Oct 2025 (v1), last revised 23 Jun 2026 (this version, v2)]
Abstract:Let $G$ be a finitely generated malabelian group, let $A\leq\mathrm{Out}(G)$ be a finitely generated subgroup, and let $\Gamma_{G,A}$ denote the preimage of $A$ in $\mathrm{Aut}(G)$. We give a general criterion for the linearity of $\Gamma_{G,A}$ in terms of surjections from $G$ to finite simple groups of Lie type.
Submission history
From: Thomas Koberda [view email]
[v1]
Thu, 16 Oct 2025 11:29:56 UTC (31 KB)
[v2]
Tue, 23 Jun 2026 00:19:32 UTC (32 KB)
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