Abstract:We prove arithmeticity for two degree-six symplectic hypergeometric monodromy groups, called C-47, and C-55 in the paper \cite{BajpaiDonaNitsche2025Thin} by Bajpai-Dona-Nitsche. This settles two of the three remaining cases, whose classification was left open by \cite{BajpaiDonaNitsche2025Thin}. The arithmeticity certificates were found with AlphaEvolve and then independently verified with exact matrix arithmetic over $\QQ$ using a computer. We include illustrations of limit sets of several degree-six symplectic hypergeometric monodromy groups. Based on these illustration we conjecture C-32 to be thin.
| Subjects: | Group Theory (math.GR); Representation Theory (math.RT) |
| Cite as: | arXiv:2605.25935 [math.GR] |
| (or arXiv:2605.25935v1 [math.GR] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25935 arXiv-issued DOI via DataCite (pending registration) |
From: Diaaeldin Taha [view email]
[v1]
Mon, 25 May 2026 15:14:18 UTC (1,217 KB)
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