Ignat Soroko

activity

20172020

collaborators

4 papers

math.GR2020

Homological Dehn functions of groups of type $F P_{2}$

Noel Brady, Robert Kropholler, Ignat Soroko

We prove foundational results for homological Dehn functions of groups of type $F P_{2}$ such as superadditivity and the invariance under quasi-isometry. We then study the homological…

math.GT2019

Linearity of some low-complexity mapping class groups

Ignat Soroko

By analyzing known presentations of the pure mapping groups of orientable surfaces of genus $g$ with $b$ boundary components and $n$ punctures, we show that these groups are isomor…

math.GR2019

Realizable ranks of joins and intersections of subgroups in free groups

Ignat Soroko

The famous Hanna Neumann Conjecture (now the Friedman-Mineyev theorem) gives an upper bound for the ranks of the intersection of arbitrary subgroups $H$ and $K$ of a non-abelian fr…

math.GR2017

Dehn functions of subgroups of right-angled Artin groups

Noel Brady, Ignat Soroko

We show that for each positive integer $k$ there exist right-angled Artin groups containing free-by-cyclic subgroups whose monodromy automorphisms grow as $n^{k}$ . As a consequence w…

Homological Dehn functions of groups of type FP2​

Linearity of some low-complexity mapping class groups

Realizable ranks of joins and intersections of subgroups in free groups

Dehn functions of subgroups of right-angled Artin groups

Homological Dehn functions of groups of type $F P_{2}$