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 2018Show all

4 papers · 1 filter

math.GR2018★ 3 cited

On existence of normal p-complement of finite groups with restrictions on the conjugacy class sizes

Ilya Gorshkov

The greatest power of a prime $p$ dividing the natural number $n$ will be denoted by $n_{p}$ . Let $I n d_{G} (g) = ∣ G : C_{G} (g) ∣$ . Suppose that $G$ is a finite group and $p$ is a prime. We pro…

math.GR2018

On Thompson's conjecture for finite simple groups

Ilya Gorshkov

Let $G$ be a finite group, $N (G)$ be the set of conjugacy classes of the group $G$ . In the present paper it is proved $G ≃ L$ if $N (G) = N (L)$ , where $G$ is a finite group with t…

math.GR2018★ 1 cited

On a connection between the order of a finite group and the set of conjugacy classes size

I. B. Gorshkov

Let $G \in {p, q}^{*}$ be a finite group with trivial center, where $p, q \in π (G)$ and $p > q > 5$ . In the present paper it is proved that $∣ G ∣_{{p, q}} = ∣ G ∣ ∣_{{p, q}}$ ; in particular $C_G…

math.GR2018★ 5 cited

On groups having the prime graph as alternating and symmetric groups

Ilya Gorshkov, Alexey Staroletov

The {\it prime graph} $Γ (G)$ of a finite group $G$ is the graph whose vertex set is the set of prime divisors of $∣ G ∣$ and in which two distinct vertices $r$ and $s$ are adjacent i…