Given a finite group G, we denote by ψ′(G) the integer, where o (g) denotes the order of g
ϵ G. It was proved by B. Khosravi and M. Baniasad Azad [12] that some finite simple group …

Let $\omega (G) $ denote the set of element orders of a finite group $ G $. If $ H $ is a finite
non-abelian simple group and $\omega (H)=\omega (G) $ implies $ G $ contains a unique …

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In this paper we will prove that up to isomorphism there are two finite groups with the same
spectrum as that of the simple group L7 (3). For the group L8 (3) we will prove that if G is a …

Let G be a finite group. The prime graph of G is a graph Γ (G) with vertex set\pi (G) and the
set of all prime divisors of| G|, where two distinct vertices p and q are adjacent by an edge if …

Let G be a finite group. The prime graph of G is a graph Γ (G) with vertex set π (G) and the
set of all prime divisors of| G|, where two distinct vertices p and q are joined by an edge if G …

Let G be a finite group. The prime graph of G is a graph Γ (G) with vertex set\pi (G) and the
set of all prime divisors of| G|, where two distinct vertices p and q are adjacent by an edge if …

Для всякой конечной неабелевой простой группы M порядка, простые делители
которого не превосходят 13, найдено число классов изоморфных конечных групп тех …

The main purpose of this article is to determine h OD (M) for every finite nonabelian simple
group M with order having prime divisors at most 13. This result is an analog of the result by …

Let G be a finite group. The prime graph of G is a graph Γ (G) with vertex set π (G), the set of
all prime divisors of| G|, and two distinct vertices p and q are adjacent by an edge if G has an …