Ignat Soroko

activity

20172026

most citedHumanity's Last Exam

23 citations · 42 across the 15 of their papers we have counts for

collaborators

16 papers

math.GR2026

Automorphisms of the Artin group of type $D_{5}$

Luis Paris, Ignat Soroko

For the Artin group of type $D_{5}$ , we determine its automorphism group and the automorphism group of its quotient by the center. This settles the only remaining case, $n = 5$ , in the…

math.GR2026

Acylindrical hyperbolicity of automorphism groups and property $R_{\infty}$ for generalized Higman groups

Ignat Soroko, Nicolas Vaskou

We consider the Higman groups $H_{k}$ ( $k \geq 4$ ) and their generalizations studied by Martin and Horbez--Huang. We prove that the automorphism groups of the Horbez--Huang groups on a…

math.GR2025

Explicit polynomial bounds on Dehn functions of subgroups of hyperbolic groups

Robert Kropholler, Claudio Llosa Isenrich, Ignat Soroko

In 1999 Brady constructed the first example of a non-hyperbolic finitely presented subgroup of a hyperbolic group by fibring a non-positively curved cube complex over the circle. W…

cs.LG2025★ 23 cited

Humanity's Last Exam

Long Phan, Alice Gatti, Ziwen Han +1168

Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…

math.GR2024

Property $R_{\infty}$ for new classes of Artin groups

Ignat Soroko, Nicolas Vaskou

We establish property $R_{\infty}$ for Artin groups of spherical type $D_{n}$ , $n \geq 6$ , their central quotients, and also for large hyperbolic-type free-of-infinity Artin groups and so…

math.GR2024★ 1 cited

Endomorphisms of Artin groups of type $B_{n}$

Luis Paris, Ignat Soroko

We determine a classification of the endomorphisms of the Artin groups of spherical type $B_{n}$ for $n \geq 5$ , and of their quotients by the center.

math.GR2024★ 1 cited

Endomorphisms of Artin groups of type $A ~_{n}$

Luis Paris, Ignat Soroko

We determine a classification of the endomorphisms of the Artin group of affine type $A ~_{n}$ for $n \geq 4$ .

math.GR2022

Divergence, thickness and hypergraph index for general Coxeter groups

Pallavi Dani, Yusra Naqvi, Ignat Soroko +1

We study divergence and thickness for general Coxeter groups $W$ . We first characterise linear divergence, and show that if $W$ has superlinear divergence then its divergence is at…

math.GR2021★ 1 cited

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

Matthieu Calvez, Ignat Soroko

Let $n \geq 2$ . In this note we give a short uniform proof of property $R_{\infty}$ for the Artin-Tits groups of spherical types $A_{n}$ , $B_{n}$ , $D_{4}$ , $I_{2} (m)$ ( $m \geq 3$ ), their pure subg…

math.GR2020★ 3 cited

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.GR2020★ 5 cited

Artin groups of types $F_{4}$ and $H_{4}$ are not commensurable with that of type $D_{4}$

Ignat Soroko

In a recent article, Cumplido and Paris studied the question of commensurability between Artin groups of spherical type. Their analysis left six cases undecided, for the following…

math.GT2019★ 2 cited

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★ 4 cited

Uncountably many quasi-isometry classes of groups of type $F P$

Robert P Kropholler, Ian J Leary, Ignat Soroko

Previously one of the authors constructed uncountable families of groups of type $F P$ and of $n$ -dimensional Poincaré duality groups for each $n \geq 4$ . We strengthen these results…

math.GR2017★ 2 cited

Genus bounds in right-angled Artin groups

Max Forester, Ignat Soroko, Jing Tao

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 $1/ (6 k)$ . Secondly, if t…

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…

Automorphisms of the Artin group of type D5​

Acylindrical hyperbolicity of automorphism groups and property R∞​ for generalized Higman groups

Explicit polynomial bounds on Dehn functions of subgroups of hyperbolic groups

Humanity's Last Exam

Property R∞​ for new classes of Artin groups

Endomorphisms of Artin groups of type Bn​

Endomorphisms of Artin groups of type A~n​

Divergence, thickness and hypergraph index for general Coxeter groups

Property R∞​ for some spherical and affine Artin-Tits groups

Homological Dehn functions of groups of type FP2​

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

Linearity of some low-complexity mapping class groups

Realizable ranks of joins and intersections of subgroups in free groups

Uncountably many quasi-isometry classes of groups of type FP

Genus bounds in right-angled Artin groups

Dehn functions of subgroups of right-angled Artin groups

Automorphisms of the Artin group of type $D_{5}$

Acylindrical hyperbolicity of automorphism groups and property $R_{\infty}$ for generalized Higman groups

Property $R_{\infty}$ for new classes of Artin groups

Endomorphisms of Artin groups of type $B_{n}$

Endomorphisms of Artin groups of type $A ~_{n}$

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

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

Artin groups of types $F_{4}$ and $H_{4}$ are not commensurable with that of type $D_{4}$

Uncountably many quasi-isometry classes of groups of type $F P$