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A new proof of finiteness of maximal arithmetic reflection groups

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arxiv 2207.00258 v1 pith:QGIQCMDG submitted 2022-07-01 math.GT math.DGmath.GRmath.NT

classification math.GTmath.DGmath.GRmath.NT
keywords arithmeticprooffinitenessgroupsmaximalreflectionautomorphicforms
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We give a new proof of the finiteness of maximal arithmetic reflection groups. Our proof is novel in that it makes no use of trace formulas or other tools from the theory of automorphic forms and instead relies on the arithmetic Margulis lemma of Fraczyk, Hurtado and Raimbault.

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