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Dehn functions of subgroups of right-angled Artin groups

- N. Brady, Ignat Soroko
- MathematicsGeometriae Dedicata
- 12 September 2017

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

Uncountably many quasi-isometry classes of groups of type FP

- Robert P. Kropholler, I. Leary, Ignat Soroko
- MathematicsAmerican Journal of Mathematics
- 15 December 2017

Abstract:In an earlier paper, one of the authors constructed uncountable families of groups of type $FP$ and of $n$-dimensional Poincar\\'e duality groups for each $n\\geq 4$. We show that those… Expand

Linearity of some low-complexity mapping class groups

- Ignat Soroko
- Mathematics
- 29 March 2019

Abstract By analyzing known presentations of the pure mapping groups of orientable surfaces of genus g with b boundary components and n punctures in the cases when g = 0 {g=0} with b and n arbitrary,… Expand

Artin groups of types F4 and H4 are not commensurable with that of type D4

- Ignat Soroko
- Mathematics
- 22 September 2020

Property R 1 for some spherical and affine Artin–Tits groups

- M. Calvez, Ignat Soroko
- Mathematics
- 2022

. Let n > 2 . In this note, we give a short uniform proof of property R 1 for the Artin–Tits groups of spherical types A n , B n , D 4 , I 2 .m/ ( m > 3 ), their pure subgroups, and for the… Expand

Genus bounds in right-angled Artin groups

- Max Forester, Ignat Soroko, Jing Tao
- Mathematics
- 29 October 2017

We show that, in any right-angled Artin group whose deﬁning graph has chromatic number k, every non-trivial element has stable commutator length at least 1/(6k). Secondly, if the deﬁning graph does… Expand

Property 𝑅∞ for some spherical and affine Artin–Tits groups

- M. Calvez, Ignat Soroko
- MathematicsJournal of Group Theory
- 22 June 2022

Abstract Let n ⩾ 2 n\geqslant 2 . In this note, we give a short uniform proof of property R ∞ R_{\infty} for the Artin–Tits groups of spherical types A n A_{n} , B n B_{n} , D 4 D_{4} , I 2 ( m )… Expand

ON A QUESTION OF PETER SARNAK

- Ignat Soroko
- Mathematics
- 2012

Consider a real symplectic vector space R with the standard basis (e1, . . . , e2m) endowed with the skew-symmetric bilinear form with matrix J = ( 0 Im −Im 0 ) . Recall that for any a ∈ R the… Expand

LINEARITY CRITERIA FOR POLY-FREE GROUPS

- Ignat Soroko
- Mathematics
- 2011

Theorem. Let F be a free group of finite rank and A a finitely generated subgroup of Aut(F ). Then the group F o A is linear over a field of characteristic 0 if and only if A preserves some analytic… Expand

Property $R_\infty$ for some spherical and affine Artin-Tits groups

- M. Calvez, Ignat Soroko
- Mathematics
- 24 June 2021

. Let n (cid:62) 2. In this note we give a short uniform proof of property R ∞ for the Artin–Tits groups of spherical types A n , B n , D 4 , I 2 ( m ) ( m (cid:62) 3), their pure subgroups, and for… Expand

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