I. Gorshkov

activity

20132023

most citedThe algebraic classification of nilpotent Tortkara algebras

18 citations · 67 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.GR2016

Thompson's conjecture for alternating group

Ilya Gorshkov

Let $G$ be a finite group, and let $N (G)$ be the set of sizes of its conjugacy classes. We show that if a finite group $G$ has trivial center and $N (G)$ equals to $N (A l t_{n})$ or $N(…

math.GR2016★ 1 cited

On Thompson's conjecture for alternating group of large degree

Ilya Gorshkov

For a finite group $G$ , let $N (G)$ denote the set of conjugacy class sizes of $G$ . We show that if every finite group $G$ with trivial center such that $N (G)$ equals to $N (A l t_{n})$ ,…

math.GR2016

Finite almost simple groups whose Gruenberg--Kegel graphs coincide with Gruenberg--Kegel graphs of solvable groups

Ilya B. Gorshkov, Natalia V. Maslova

In this paper we describe all the finite almost simple groups whose Gruenberg--Kegel graphs coincide with Gruenberg--Kegel graphs of finite solvable groups.