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arxiv: 1205.2984 · v1 · pith:XQ55B7C3new · submitted 2012-05-14 · 🧮 math.MG · math.GT

The three smallest compact arithmetic hyperbolic 5-orbifolds

classification 🧮 math.MG math.GT
keywords orbifoldshyperbolicarithmeticcompactgroupssmallestthreevolume
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We determine the three hyperbolic 5-orbifolds of smallest volume among compact arithmetic orbifolds, and we identify their fundamental groups with hyperbolic Coxeter groups. This gives two different ways to compute the volume of these orbifolds.

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