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 …

The spectrum ω (G) of a finite group G is the set of element orders of G. Finite groups G and
H are isospectral if their spectra coincide. Suppose that L is a simple classical group of …

Finite groups are said to be isospectral if they have the same sets of element orders. A finite
nonabelian simple group L is said to be almost recognizable by spectrum if every finite …

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 …

Characterizations of the simple group Dn(3) by prime graph and spectrum Page 1 Iranian
Journal of Mathematical Sciences and Informatics Vol. 7, No. 1 (2012), pp 91-106 …

‎ Let $ G $ be a finite group‎.‎ In [Ghasemabadi et al.‎,‎ characterizations of the simple group
${}^ 2D_n (3) $ by prime graph‎‎ and spectrum‎,‎ Monatsh Math.‎,‎ 2011] it is‎‎ proved that if $ n …

Let G be a finite simple group and GK (G) be the prime graph of G. Theconnected
component of GK (G) whose vertex set contains 2 is denotedby \pi_1(G). In this paper, our …