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On Thin Heckoid and Generalised Triangle Groups in $PSL(2,\mathbb{C})$}

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arxiv 2409.04438 v1 pith:YH732K4X submitted 2024-09-06 math.GR math.CV

classification math.GRmath.CV
keywords groupsthinworkgeneralisedheckoidmathbbtriangleapplication
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abstract

We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in $PSL(2,\mathbb{C})$. Here we give a complete list of the $55$ thin generalised triangle groups of slope $1/2$. This work was presented at the conference Computational Aspects of Thin Groups, IMSS, Singapore and presents an application of joint work initiated with Colin Maclachlan

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