Outputs (2)

Reflection subgroups of odd-angled Coxeter groups (2014)
Journal Article
Felikson, A., Fintzen, J., & Tumarkin, P. (2014). Reflection subgroups of odd-angled Coxeter groups. Journal of Combinatorial Theory, Series A, 126, 92-127. https://doi.org/10.1016/j.jcta.2014.04.008

We give a criterion for a finitely generated odd-angled Coxeter group to have a proper finite index subgroup generated by reflections. The answer is given in terms of the least prime divisors of the exponents of the Coxeter relations.

Growth rate of cluster algebras (2014)
Journal Article
Felikson, A., Shapiro, M., Thomas, H., & Tumarkin, P. (2014). Growth rate of cluster algebras. Proceedings of the London Mathematical Society, 109(3), 653-675. https://doi.org/10.1112/plms/pdu010

We complete the computation of growth rate of cluster algebras. In particular, we show that growth of all exceptional non-affine mutation-finite cluster algebras is exponential.