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Galois extension
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21	Hopf-Galois Extensions and Ek-bialgebras in Spectra Add to Reading List Source URL: math.jhu.edu Language: English - Date: 2015-04-02 09:42:19 Field theory Group theory Monoidal categories Coalgebra Bialgebra Galois group Galois extension Weak Hopf algebra Frobenius algebra Abstract algebra Algebra Galois theory
22	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
23	M U is a Hopf-Galois extension of M SU Jonathan Beardsley September 12, 2014 Recall the commutative S-algebras M SU and M U , the Thom spectra of oriented complex bordism and complex bordism respectively. Also recall tha Add to Reading List Source URL: math.jhu.edu Language: English - Date: 2014-09-12 08:53:40 Algebra Complex cobordism Thom space Cobordism Algebraic structure Depth of noncommutative subrings Abstract algebra Algebraic topology Topology
24	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
25	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
26	X(n) is a Hopf-Galois extension of X(n − 1) Jonathan Beardsley September 18, 2014 1 Add to Reading List Source URL: math.jhu.edu Language: English - Date: 2014-09-18 13:34:56 Mathematics Spectrum Homotopy groups of spheres Homotopy group Stable homotopy theory Homotopy Cobordism Field Landweber exact functor theorem Abstract algebra Homotopy theory Topology
27	On metacyclic extensions Masanari Kida University of Electro-Communications September 9, 2008 Add to Reading List Source URL: mathweb.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:54 Group theory Galois theory Equations Polynomials Elliptic curve Field extension Quintic function Field Isogeny Abstract algebra Algebra Field theory
28	Introduction Kummer theory An illustration by an example Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:51 Field theory Group theory Galois theory Algebraic structures Metacyclic group Frobenius group Kummer theory Galois group Abelian extension Abstract algebra Algebra Algebraic number theory
29	Introduction Kummer theory First example Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Galois theory Group theory Field theory Class field theory Metacyclic group Frobenius group Kummer theory Galois group Abelian extension Abstract algebra Algebra Algebraic number theory
30	On metacyclic extensions ∗ Masanari Kida† 1 Introduction Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Galois theory Group theory Algebraic number theory Galois group Frobenius group Algebraic torus Kummer theory Field extension Metacyclic group Abstract algebra Algebra Field theory