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

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Showing 2019Show all

4 papers · 1 filter

math.GR2019

On characterisation of a finite group by the set of conjugacy class sizes

Ilya Gorshkov

Let $G$ be a finite group and $N (G)$ be the set of its conjugacy class sizes. In the 1980's Thompson conjectured that the equality $N (G) = N (S)$ , where $Z (G) = 1$ and $S$ is simple, im…

math.RA2019★ 14 cited

The geometric classification of nilpotent Tortkara algebras

Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko

We give a geometric classification of all $6$ -dimensional nilpotent Tortkara algebras over $C$

math.GR2019★ 1 cited

The group $J_{4} \times J_{4}$ is recognizable by spectrum

I. B. Gorshkov, N. V. Maslova

The spectrum of a finite group is the set of its element orders. In this paper we prove that the direct product of two copies of the finite simple sporadic group $J_{4}$ is uniquely…

math.RA2019★ 18 cited

The algebraic classification of nilpotent Tortkara algebras

Ilya Gorshkov, Ivan Kaygorodov, Mykola Khrypchenko

We classify all $6$ -dimensional nilpotent Tortkara algebras over $C .$

On characterisation of a finite group by the set of conjugacy class sizes

The geometric classification of nilpotent Tortkara algebras

The group J4​×J4​ is recognizable by spectrum

The algebraic classification of nilpotent Tortkara algebras

The group $J_{4} \times J_{4}$ is recognizable by spectrum