The Gruenberg–Kegel graph GK (G)=(VG, EG) of a finite group G is a simple graph with
vertex set VG= π (G), the set of all primes dividing the order of G, and such that two distinct …

The prime graph of a finite group G, which is denoted by GK (G), is a simple graph whose
vertex set is comprised of the prime divisors of| G| and two distinct prime divisors p and q are …

‎ Let $ G $ be a finite group‎.‎ The degree pattern of $ G $ denoted by‎‎ $ D (G) $ is defined as
follows‎:‎ If $\pi (G)=\{p_ {1}, p_ {2},..., p_ {k}\} $ such that‎‎ $ p_ {1}< p_ {2}<...< p_ {k} $‎,‎ then …

Let ${\rm GK}(G) $ be the prime graph associated with a finite group $ G $ and $ D (G) $ be
the degree pattern of $ G $. A finite group $ G $ is said to be $ k $-fold OD-characterizable if …

CHARACTERIZATION BY ORDER AND DEGREE PATTERN OF THE SIMPLE GROUPS O− 8
(q) FOR CERTAIN Page 1 Ukrainian Mathematical Journal, Vol. 74, No. 6, November, 2022 …

In [Akbari and Moghaddamfar, Recognizing by order and degree pattern of some projective
special linear groups,{\it Internat. J. Algebra Comput.}, 2012] the authors possed the …

1. Introduction. Let G be a finite group,\pi (G) the set of all prime divisors of its order and\pi e
(G) the spectrum of G, that is, the set of its element orders. The Gruenberg–Kegel graph Γ …

Let G be a finite group. Moghaddamfar et al defined the prime graph Γ (G) of group G as
follows. The vertices of Γ (G) are the primes dividing the order of G and two distinct vertices …

OD-Characterization of Some Simple Unitary Groups | Bulletin of the Iranian Mathematical Society
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Abstract Let SLn (q)(Ln (q)) be (projective) special linear group of degree n over finite field of
order q, respectively. Moghaddamfar et al have proved that linear group L3 (7) is OD …