A. Felikson

activity

20022026

most citedSkew-symmetric cluster algebras of finite mutation type

108 citations · 399 across the 43 of their papers we have counts for

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3 papers · 1 filter

math.GR2012

Reflection subgroups of odd-angled Coxeter groups

Anna Felikson, Jessica Fintzen, Pavel Tumarkin

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 pri…

math.GR2007★ 15 cited

Reflection subgroups of Coxeter groups

Anna Felikson, Pavel Tumarkin

We use geometry of Davis complex of a Coxeter group to prove the following result: if G is an infinite indecomposable Coxeter group and $H \subset G$ is a finite index reflection su…

math.GR2005★ 4 cited

A series of word-hyperbolic Coxeter groups

Anna Felikson, Pavel Tumarkin

For each positive integer $k$ we present an example of Coxeter system $(G_{k}, S_{k})$ such that $G_{k}$ is a word-hyperbolic Coxeter group, for any two generating reflections $s,t\in S_k…