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Daneshkhah, Ashraf,Zarin, Sheyda Zang Korean Mathematical Society 2017 대한수학회보 Vol.54 No.6
The main aim of this article is to study symmetric (v, k, ${\lambda}$) designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSU(3, q). We indeed show that such designs must be complete.
ON FINITE GROUPS WITH THE SAME ORDER TYPE AS SIMPLE GROUPS F<sub>4</sub>(q) WITH q EVEN
Daneshkhah, Ashraf,Moameri, Fatemeh,Mosaed, Hosein Parvizi Korean Mathematical Society 2021 대한수학회보 Vol.58 No.4
The main aim of this article is to study quantitative structure of finite simple exceptional groups F<sub>4</sub>(2<sup>n</sup>) with n > 1. Here, we prove that the finite simple exceptional groups F<sub>4</sub>(2<sup>n</sup>), where 2<sup>4n</sup> + 1 is a prime number with n > 1 a power of 2, can be uniquely determined by their orders and the set of the number of elements with the same order. In conclusion, we give a positive answer to J. G. Thompson's problem for finite simple exceptional groups F<sub>4</sub>(2<sup>n</sup>).
Ashraf Daneshkhah,Sheyda Zang Zarin 대한수학회 2017 대한수학회보 Vol.54 No.6
The main aim of this article is to study symmetric $(v,k,\lambda)$ designs admitting a flag-transitive and point-primitive automorphism group $G$ whose socle is $\PSU(3, q)$. We indeed show that such designs must be complete.
A new characterization of alternating andsymmetric groups
S. H. Alavi,A. Daneshkhah 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1-2
In this paper we prove that the alternating groups An, for n = p, p+1, p+2 and symmetric groups Sn, for n = p, p+1, where p 3 is a prime number, can be uniquely determined by their order components. As one of the important consequence of this characterization we show that the simple groups An, where n = p, p+1, p+2 and p 3 is prime, satisfy in Thompson’s conjecture and Shi’s conjecture.