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[[数学]]中，'''格罗滕迪克伽罗瓦理论'''（{{lang|en|Grothendieck's Galois theory}}）是域的[[伽罗瓦理论]]的一种抽象方法，为[[代数几何]]背景下研究[[代数拓扑]]的[[基本群]]提供了一种方法，大约发展于1960年前后。格罗 title=An Extension of the Galois Theory of Grothendieck| …

这类型LFSR也被成为'''标准'''，'''多对一'''或'''外部异或门'''的LFSR。下一节将会介绍Galois型的LFSR。 ==Galois LFSRs== …

<ref name="cox">{{cite book|author=David A. Cox|title=Galois Theory|year=2004|url=http://books.google.fr/books?id=3u4RF8SrRooC|publisher=John… *{{cite book|author=Patrick Morandi|title=Fields and Galois Theory|year=1996|publisher=Springer（插图版）|language = en|isbn=9780387947532}} …

…://books.google.com.tw/books?id=3u4RF8SrRooC&printsec=frontcover&dq=Galois+Theory+inauthor:David+inauthor:A+inauthor:Cox&lr=&as_drrb_is=q&as_minm_is=0&as_min …~li/galois-html/ 李華介，簡介Galois理論] {{Wayback|url=http://math.ntnu.edu.tw/~li/galois-html/ |date=20200201034210 }} …

'''伽罗瓦群'''（{{lang-fr|Groupe de Galois}}）是[[抽象代数]]中[[域论]]的概念，表示与某个类型的[[域扩张]]相伴的[[群]]，是[[伽罗瓦理论]]的基础概念。域扩张源于[[多项式]]。 …f name="gtm167">{{cite book|author=Patrick Morandi|title=Fields and Galois Theory|year=1996|publisher=Springer（插图版）|language = en|isbn=9780387947532}}</ref> …

* {{link-en|微分伽罗瓦定理|Differential Galois theory}} * D. Marker, Model theory of differential fields, ''Model theory of fields'', Lecture notes in Logic 5, D. Marker, M. Messmer and A. Pillay, …

…有固定点，有些则没有。 <ref>{{Citation|title=Abstract Algebra: Applications to Galois Theory, Algebraic Geometry and Cryptography|first=Celine|last=Carstensen|first2=Be …

別雷定理證明了別雷函數的存在性。這定理常應用於{{tsl|en|inverse Galois problem|伽羅瓦逆問題}}。 …ref.org/iPage?doi=10.1070%2FIM1980v014n02ABEH001096|pages=247–256|title=ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD|journal=Mathematics of the USSR-Iz …

…{{r|cox|page=8-9}}<ref>{{cite book|author=Nathan Carter|title=Visual Group Theory|url=https://archive.org/details/visualgrouptheor00cart|year=2009|publisher= …agram of Q adjoin the positive square roots of 2 and 3, its subfields, and Galois groups variant.png|thumb|500px|子群与子域的关联结构图]] …

…]]基于[[伽羅瓦上同調|伽罗瓦上同调]]给出了[[類域論|类域论]]的拓扑解释<ref>J. Tate, Duality theorems in Galois cohomology over number fields, (Proc. Intern. Cong. Stockholm, 1962, p. 288 …alogies between the Langlands correspondence and topological quantum field theory], Progress in Math., 131, Birkhäuser, (1995), 119–151. …

|native_name = Évariste Galois | image = Evariste galois.jpg …

…agram of Q adjoin the positive square roots of 2 and 3, its subfields, and Galois groups.svg|alt=显示相应伽罗瓦群的子群与子域的格。|thumb|400x400px|<math>\mathbb{Q}</math>对根号 …olution algébrique des équations，1770）在拉格朗日{{link-en|预解式|Resolvent (Galois theory)}}法中，分析了卡尔达诺和费拉里的解法，认为其根的排列组合（置换）可以得到低次的辅助多项式，从而对解法有了统一认识，并为群论与伽罗瓦理论奠定了基础。但 …

''A freely available introduction to Galois connections, presenting many examples and results. Also includes notes on… * M. Erné, J. Koslowski, A. Melton, G. E. Strecker, ''A primer on Galois connections'', in: Proceedings of the 1991 Summer Conference on General Top …

…作图正奇数边数多边形。<ref>Falko Lorenz, 2006, ''Algebra: Volume I: Fields and Galois Theory'', [https://books.google.se/books?id=SEy_uuQpxBMC&pg=PA105 p. 105]. {{ISBN| …

…|ι}}是[[单射]]<ref>{{cite book|author=Francis Borceux, George Janelidze|title=Galois Theories|year=2001|publisher=Cambridge University Press（插图版, 再版）|language… …f name="gtm167">{{cite book|author=Patrick Morandi|title=Fields and Galois Theory|year=1996|publisher=Springer（插图版）|language = en|isbn=9780387947532}}</ref> …

| last = Galois | title = OEuvres mathématiques d'Évariste Galois. …

#''Introduction to [[Axiomatic Set Theory]]'', [[Gaisi Takeuti]], Wilson M. Zaring (1982, 2nd ed., {{ISBN|978-1-4613- #''Axiomatic Set Theory'', [[Gaisi Takeuti]], Wilson M. Zaring, (1973, {{ISBN|978-3-540-90050-4}}) …

…theory}}的一个例子。这一理论有着众多的应用，包括Weil猜想的证明以及{{link-en|德利涅-路兹庭理论|Deligne–Lusztig theory|李型有限单群的表示}}的构造。 …[伽罗瓦群]]作用。例如，若一个复数簇在有理数上定义，则其ℓ进上同调群受有理数的[[绝对伽罗瓦群]]的作用，因此是一个{{link-en|伽罗瓦表示|Galois representations}}。 …

[[Category:Galois theory]] …

…metimes called delooping, especially in the context of [[Homotopy|homotopy theory]], see {{Cite web|url=https://ncatlab.org/nlab/show/delooping#delooping_of_ …o higher-dimensional homotopy groupoids, having applications in [[homotopy theory]] and in group [[cohomology]]. Many references. …