On the congruence $f(x^k) ≡ 0 mod q$, where q is a prime and f is a k-normal polynomial
نویسندگان
چکیده
منابع مشابه
Determination of a Matrix Function in the Form of f(A)=g(q(A)) Where g(x) Is a Transcendental Function and q(x) Is a Polynomial Function of Large Degree Using the Minimal Polynomial
Matrix functions are used in many areas of linear algebra and arise in numerical applications in science and engineering. In this paper, we introduce an effective approach for determining matrix function f(A)=g(q(A)) of a square matrix A, where q is a polynomial function from a degree of m and also function g can be a transcendental function. Computing a matrix function f(A) will be time- consu...
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 کاملNormal edge-transitive Cayley graphs on the non-abelian groups of order $4p^2$, where $p$ is a prime number
In this paper, we determine all of connected normal edge-transitive Cayley graphs on non-abelian groups with order $4p^2$, where $p$ is a prime number.
متن کاملCharacterization of $G_2(q)$, where $2 < q equiv 1(mod 3)$ by order components
In this paper we will prove that the simple group $G_2(q)$, where $2 < q equiv 1(mod3)$ is recognizable by the set of its order components, also other word we prove that if $G$ is a finite group with $OC(G)=OC(G_2(q))$, then $G$ is isomorphic to $G_2(q)$.
متن کاملبررسی اختلال معادلات ماتریسی x+a^*f(x)a=q
در این پایان نامه ابتدا شرایط وجود جواب برای معادلات ماتریسی و غیر خطی x+a^*f(x)a=q را بررسی نموده سپس به تحلیل اختلال در معادلات مذکور می پردازیم. در هر مبحث برای بیان و توضیح مطالب قضایا و مثال های عددی متعدد آورده شده است.
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1982
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-41-2-151-161