Quasirecognition by Prime Graph of the Groups 2D2n(q) Where q < 105
نویسندگان
چکیده
منابع مشابه
Quasirecognition by the prime graph of L_3(q) where 3 < q < 100
Let $G$ be a finite group. We construct the prime graph of $ G $,which is denoted by $ Gamma(G) $ as follows: the vertex set of thisgraph is the prime divisors of $ |G| $ and two distinct vertices $ p$ and $ q $ are joined by an edge if and only if $ G $ contains anelement of order $ pq $.In this paper, we determine finite groups $ G $ with $ Gamma(G) =Gamma(L_3(q)) $, $2 leq q < 100 $ and prov...
متن کاملQuasirecognition by Prime Graph of the Groups
Let G be a finite group. The prime graph Γ(G) of G is defined as follows: The set of vertices of Γ(G) is the set of prime divisors of |G| and two distinct vertices p and p′ are connected in Γ(G), whenever G has an element of order pp′. A non-abelian simple group P is called recognizable by prime graph if for any finite group G with Γ(G) = Γ(P ), G has a composition factor isomorphic to P . In [...
متن کاملquasirecognition by the prime graph of l_3(q) where 3 < q < 100
let $g$ be a finite group. we construct the prime graph of $ g $,which is denoted by $ gamma(g) $ as follows: the vertex set of thisgraph is the prime divisors of $ |g| $ and two distinct vertices $ p$ and $ q $ are joined by an edge if and only if $ g $ contains anelement of order $ pq $.in this paper, we determine finite groups $ g $ with $ gamma(g) =gamma(l_3(q)) $, $2 leq q < 100 $ and prov...
متن کاملquasirecognition by the prime graph of l_3(q) where 3 < q < 100
let $g$ be a finite group. we construct the prime graph of $ g $,which is denoted by $ gamma(g) $ as follows: the vertex set of thisgraph is the prime divisors of $ |g| $ and two distinct vertices $ p$ and $ q $ are joined by an edge if and only if $ g $ contains anelement of order $ pq $.in this paper, we determine finite groups $ g $ with $ gamma(g) =gamma(l_3(q)) $, $2 leq q < 100 $ and prov...
متن کاملquasirecognition by prime graph of $u_3(q)$ where $2 < q =p^{alpha} < 100$
let $g $ be a finite group and let $gamma(g)$ be the prime graph of g. assume $2 < q = p^{alpha} < 100$. we determine finite groups g such that $gamma(g) = gamma(u_3(q))$ and prove that if $q neq 3, 5, 9, 17$, then $u_3(q)$ is quasirecognizable by prime graph, i.e. if $g$ is a finite group with the same prime graph as the finite simple group $u_3(q)$, then $g$ has a un...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2018
ISSN: 2227-7390
DOI: 10.3390/math6040057