Ignat Soroko

activity

20172026

most citedHumanity's Last Exam

23 citations · 25 across the 8 of their papers we have counts for

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10 papers · 1 filter

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

Property $R_{\infty}$ for generalized Higman groups

Ignat Soroko, Nicolas Vaskou

We give a unified proof of property $R_{\infty}$ for the Higman groups $H_{n}$ ( $n \geq 4$ ) and for their generalizations studied by Martin and Horbez--Huang. As a key step, we prove tha…

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…

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 $n \geq 4$ .

Automorphisms of the Artin group of type D5​

Property R∞​ for generalized Higman groups

Explicit polynomial bounds on Dehn functions of subgroups of hyperbolic groups

Property R∞​ for new classes of Artin groups

Endomorphisms of Artin groups of type Bn​

Endomorphisms of Artin groups of type A~n​

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

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 $A ~_{n}$