“FrobeniusMap”的概念、定义、习题解题方法及翻译-数学辞典

单词	FrobeniusMap
释义	Frobenius map Let $K$ be any field of characteristic $p>0$ , and suppose $K$ contains the finite field $\\mathbb{F}_{q}$ of size $q$ , where $q=p^{r}$ . The $q^{\\rm th}$ power Frobenius map on $K$ is the map $\\operatorname{Frob}_{q}:K\\longrightarrow K$ defined by $\\operatorname{Frob}_{q}(x):=x^{q}$ . If $K$ is perfect, then $\\operatorname{Frob}_{q}$ is an automorphism of $K$ which fixes $\\mathbb{F}_{q}$ , and accordingly is a member of the Galois group $\\operatorname{Gal}(K/\\mathbb{F}_{q})$ .
随便看	example of pseudometric space ExampleOfQuantifier example of quantifier ExampleOfQuasiaffineVarietyThatIsNotAffine example of quasi-affine variety that is not affine ExampleOfRatioTest example of ratio test ExampleOfReducibleAndIrreducibleGmodules example of reducible and irreducible G-modules ExampleOfResultant1 example of resultant (1) ExampleOfResultant2 example of resultant (2) ExampleOfRewritingADifferentialEquationAsAPfaffianSystem example of rewriting a differential equation as a Pfaffian system ExampleOfRiemannDoubleIntegral example of Riemann double integral ExampleOfRiemannTripleIntegral example of Riemann triple integral ExampleOfRingWhichIsNotAUFD example of ring which is not a UFD ExampleOfRotationMatrix example of rotation matrix ExampleOfSchreiersLemma example of Schreier’s Lemma

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Frobenius map