I. Gorshkov

activity

20202026

most citedOn

3

-generated axial algebras of Jordan type

\frac{1}{2}

1 citations · 1 across the 12 of their papers we have counts for

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math.GR2024

On groups whose conjugacy class sizes are not divisible by each other

Nanying Yang, Ilya Gorshkov

Let $G$ be a finite group and $N (G)$ be the set of its conjugacy class sizes excluding~ $1$ . Let us define a directed graph $Γ (G)$ , the set of vertices of this graph is $N (G)$ and t…

math.RA2024

Solid subalgebras in algebras of Jordan type half

I. Gorshkov, S. Shpectorov, A. Staroletov

The class of algebras of Jordan type $η$ was introduced by Hall, Rehren and Shpectorov in 2015 within the much broader class of axial algebras. Algebras of Jordan type are commutat…

math.GR2024

On combinatorial properties of Gruenberg--Kegel graphs of finite groups

Mingzhu Chen, Ilya B. Gorshkov, Natalia V. Maslova +1

If $G$ is a finite group, then the spectrum $ω (G)$ is the set of all element orders of $G$ . The prime spectrum $π (G)$ is the set of all primes belonging to $ω (G)$ . A simple graph $…