Ilya Kapovich

activity

19952026

most citedGeometric Intersection Number and analogues of the Curve Complex for free groups

47 citations · 349 across the 75 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.GT2013

McMullen polynomials and Lipschitz flows for free-by-cyclic groups

Spencer Dowdall, Ilya Kapovich, Christopher J. Leininger

Consider a group G and an epimorphism u_0:G\to\Z inducing a splitting of G as a semidirect product ker(u_0)\rtimes_φ\Z with ker(u_0) a finitely generated free group and φ\in Out(ke…

math.GR2013★ 2 cited

Nielsen equivalence in a class of random groups

Ilya Kapovich, Richard Weidmann

We show that for every $n \geq 2$ there exists a torsion-free one-ended word-hyperbolic group $G$ of rank $n$ admitting generating $n$ -tuples $(a_{1}, \dots, a_{n})$ and $(b_1,\ldots ,b_…

math.GT2013★ 18 cited

Dynamics on free-by-cyclic groups

Spencer Dowdall, Ilya Kapovich, Christopher J. Leininger

Given a free-by-cyclic group $G = F_{N} ⋊_{φ} Z$ determined by any outer automorphism $φ \in Out (F_{N})$ which is represented by an expanding irreducible train-trac…