Abstract It is an interesting and difficult topic to determine the structure of a finite group by number elements maximal order. This related Thompson’s conjecture, that is, if two groups have same order type one them solvable, then other solvable. In this article, we continue work prove G G which has 4 <m...

Let $F_q$ be a field with $q$ elements, where is power of prime number $p\geq 5$. For any integer $m\geq 2$ and $a\in F_q^*$ such that the polynomial $x^m-a$ irreducible in $F_q[x]$, we combine two different methods to explicitly construct elements high order $F_q[x]/\langle x^m-a\rangle$. Namely, find multiplicative at least $5^{\sqrt[3]{m/2}}$, which better than previously obtained bound for ...

ebrahim panahpour1*, parviz ahmadi2,  mahmoud shomeili3 1,2- department of soil science, college of agriculture, ahvaz branch, islamic azad university, ahvaz, iran 3- manager agronomi department sugarcane research and training institute khuzestan, iran *corresponding author email: [email protected] received: 22 july 2015                                                                       ...