
TL;DR
This paper demonstrates that many Coxeter groups, especially those with uniform exponent greater than 2 and numerous generators, are incoherent using probabilistic methods.
Contribution
It introduces probabilistic techniques to prove incoherence in broad classes of Coxeter groups, expanding understanding of their algebraic properties.
Findings
Coxeter groups with uniform exponent > 2 are incoherent
Probabilistic methods effectively prove incoherence
Incoherence holds for groups with sufficiently many generators
Abstract
We use probabilistic methods to prove that many Coxeter groups are incoherent. In particular, this holds for Coxeter groups of uniform exponent > 2 with sufficiently many generators.
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