Abstract The Gruenberg–Kegel graph Γ (G) associated with a finite group G is an undirected
graph without loops and multiple edges whose vertices are the prime divisors of| G| and in …

On Finite Tetraprimary Groups Page 1 ISSN 0081-5438, Proceedings of the Steklov Institute of
Mathematics, 2012, Vol. 279, Suppl. 1, pp. S43–S61. c Pleiades Publishing, Ltd., 2012. Original …

Let G be a finite group. We define the prime graph Γ (G) as follows. The vertices of Γ (G) are
the primes dividing the order of G and two distinct vertices p, q are joined by an edge if there …

Let G be a finite group. The prime graph Γ (G) of G is defined as follows. The vertices of Γ (G)
are the primes dividing the order of G and two distinct vertices p, q are joined by an edge if …

In this paper as the main result we prove that the projective special linear group L 16 (2) is
uniquely determined by its prime graph. In fact we give a positive answer to an open …

Abstract The Gruenberg–Kegel graph (or the 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 …

Let G be a finite group. The prime graph Γ (G) of G is defined as follows. The vertices of Γ (G)
are the primes dividing the order of G and two distinct vertices p, p′ are joined by an edge if …

As the main result, we show that if G is a finite group such that Γ (G)= Γ (2 F 4 (q)), where q=
2 2 m+ 1 for some m≧ 1, then G has a unique nonabelian composition factor isomorphic to …

В теории конечных групп интерес многих исследователей вызывают различные
проблемы распознаваемости характеризации группы по некоторому набору ее …

Let G be a finite group. The prime graph of G is denoted by Γ (G). In this paper as the main
result we determine finite groups G such that Γ (G)= Γ (L9 (2)). Let πe (G) be the set of …