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Article
On Recognizability of PSU3(q) by the Orders of Maximal Abelian Subgroups
Li and Chen in 2012 proved that the simple group A1(pn) is uniquely determined by the set of orders of its maximal abelian subgroups. Later the authors proved that if L = A2(q), where q is not a Mersenne prime, t...
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Article
Asymptotic aspect of Drygas, quadratic and Jensen functional equations in metric abelian groups
The asymptotic stability behavior of Drygas, quadratic and Jensen functional equations is investigated. Indeed, we show that if these equations hold approximately for large arguments with an upper bound ...
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Article
On characterization by order and prime graph for alternating groups
There are some graphs related to the structure of a finite group, e.g. the prime graph, the solvable graph, and the noncommuting graph of a finite group. In this paper, we consider characterization by order an...
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Article
Groups with the Same Prime Graph as the Simple Group D n (5)
Let G be a finite group. The prime graph of G is denoted by Γ(G). Let G be a finite group such that Γ(G) = Γ(D n (5)), where n ≥ 6. In the paper, as the main res...
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Article
Quasirecognition by prime graph of 2 D n (3α) where n = 4m + 1 ≥ 21 and α is odd
Let G be a finite group. The prime graph of G is denoted by Γ(G). In this paper, as the main result, we show that if G is a finite group such that Γ(G) = Γ(2 D n
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Article
Groups with the same prime graph as the orthogonal group B n (3)
Let G be a finite group. The prime graph of G is denoted by Γ(G). It is proved in [1] that if G is a finite group such that Γ(G) = Γ(B p (3)), where p > 3 is an ...
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Article
Recognition by prime graph of \(^2 D_{2^m + 1} (3)\)
As shown in [1] the simple group \(^2 D_{2^m + 1} (3)\) is recognizable by spectrum. The main result of this paper generalizes t...
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Article
Quasirecognition by prime graph of F 4(q) where q = 2 n > 2
The prime graph of a finite group G is denoted by Γ(G). In this paper as the main result, we show that if G is a finite group such that Γ(G) = Γ(F 4(q)), where q = 2 n ...
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Article
Quasirecognition by prime graph of the simple group 2 F 4(q)
As the main result, we show that if G is a finite group such that Γ(G) = Γ(2 F 4(q)), where q = 22m+1 for some m ≧ 1, then G has a unique nonabelian composition fac...
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Article
2-Recognizability by prime graph of PSL(2, p 2)
Let G be a finite group and let Γ(G) be the prime graph of G. Assume p prime. We determine the finite groups G such that Γ(G) = Γ(PSL(2, p 2)) and prove that if p ≠ 2, 3, 7 is a prime then...
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Article
A Characterization of PSU3(q) for q ≥ 5
Based on the prime graph of a finite simple group, its order is the product of its order components (see [4]). We prove that the simple groups PSU3(q) are uniquely determined by their order components. Our result...
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Article
A Characterization of PSL(3, q) for q=2 m
The order components of a finite group are introduced in [12]. In [9], it is proved that the group PSL(3,q), where q is an odd prime power, is uniquely determined by its order components. In this paper, we show t...
