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Fundamental theorem of Galois theory
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1	GLOBAL SOLVABLY CLOSED ANABELIAN GEOMETRY Shinichi Mochizuki July 2006 Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 02:03:34 Galois theory Algebraic number theory Class field theory Galois group Splitting of prime ideals in Galois extensions Galois extension tale fundamental group Galois cohomology Norm residue isomorphism theorem Abelian extension Field extension Fundamental theorem of Galois theory
2	301 Documenta Math. Additive Structure of Multiplicative Subgroups of Fields and Galois Theory Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2004-09-15 11:23:51 Group theory Field theory XTR Field Subgroup Frattini subgroup Quotient group Galois theory Fundamental theorem of Galois theory Semilinear map
3	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 3 Due: Tuesday 1 pm, March 17, 2015. In the following, E, F, K are fields. Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-03-03 04:39:36 Field theory Algebraic number theory Galois extension Field extension Field Separable extension Fundamental theorem of Galois theory Abstract algebra Algebra Galois theory
4	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 5 In the following, E, F, K are ﬁelds. 1. Let x be nonalgebraic over an arbitrary ﬁeld F , E = F (I( Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-04-14 02:55:30 Field theory Galois theory Fundamental theorem of Galois theory Abstract algebra Algebra Group theory
5	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 4 In the following, E, F, K are fields. 1. (a) Prove that K Emb (K/F ) = F ⇔ for all u ∈ K − F , M Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-03-31 04:58:08 Galois theory Algebraic number theory Group theory Field Normal extension Galois extension Separable extension Fundamental theorem of Galois theory Abstract algebra Algebra Field theory
6	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 5 Due: Tuesday 1 pm, April 14, 2015. In the following, E, F, K are fields. Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-03-31 04:57:36 Field Splitting field Galois theory Fundamental theorem of Galois theory Galois group Abstract algebra Algebra Field theory
7	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 2 Due: Tuesday 1 pm, March 3, 2015. In the following, E, F, K are fields. Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-02-17 01:14:06 Field theory Field Finite field Operator theory Separable extension Fundamental theorem of Galois theory Abstract algebra Mathematical analysis Mathematics
8	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 4 Due: Tuesday 1 pm, March 31, 2015. In the following, E, F, K are fields. Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-03-17 02:34:42 Galois theory Algebraic number theory Polynomials Field Galois extension Separable polynomial Separable extension Fundamental theorem of Galois theory Abstract algebra Algebra Field theory
9	Dedekind’s treatment of Galois theory in the Vorlesungen Edward T. Dean December 14, 2009 Technical Report No. CMU-PHIL-184 Philosophy Add to Reading List Source URL: www.hss.cmu.edu Language: English - Date: 2009-12-14 14:03:42 Algebraic number theory Group theory Galois theory Fundamental theorem of Galois theory Algebraic number field Field Ideal class group Real number Galois group Abstract algebra Algebra Field theory
10	GALOIS GROUPS ATTACHED TO POINTS OF FINITE ORDER ON ELLIPTIC CURVES ` SERRE) OVER NUMBER FIELDS (D’APRES ´ JACQUES VELU Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:08 Elliptic curve Subgroup Symmetric group Projective linear group Fundamental theorem of Galois theory Abstract algebra Algebra Group theory

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