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Separable algebra
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11	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
12	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 2 In the following, E, F, K are fields. 1. Let G be an abelian group and a, b ∈ G with ord (a) = m, or Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-03-05 20:25:41 Field theory Operator theory Field Ordinary differential equations Spectral theory Valuation Separable extension Abstract algebra Algebra Mathematics
13	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
14	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
15	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
16	PRIME ORDER PRIMITIVE SUBGROUPS IN TORUS-BASED CRYPTOGRAPHY JASON E. GOWER Abstract. We use the Bateman-Horn conjecture to study the order of the set of Fq -rational points of primitive subgroups that arise in torus-base Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2006-12-06 18:43:19 Analytic number theory Integer sequences Field theory Bateman–Horn conjecture Finite field Algebraic torus Separable extension Number theory Field extension Abstract algebra Mathematics Algebra
17	PRIME SPECIALIZATION IN GENUS 0 BRIAN CONRAD, KEITH CONRAD, AND ROBERT GROSS Abstract. For a prime polynomial f (T ) ∈ Z[T ], a classical conjecture predicts how often f has prime values. For a finite field κ and a pr Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2006-05-31 00:00:20 Abstract algebra Finite field Bateman–Horn conjecture Degree of a continuous mapping Degree of a polynomial Resultant Factorization of polynomials over a finite field and irreducibility tests Separable extension Mathematics Algebra Polynomials
18	ONE-RELATOR GROUPS WITH TORSION ARE CONJUGACY SEPARABLE ASHOT MINASYAN AND PAVEL ZALESSKII Abstract. We prove that one-relator groups with torsion are hereditarily conjugacy separable. Our argument is based on a combinat Add to Reading List Source URL: www.personal.soton.ac.uk Language: English - Date: 2012-11-02 12:18:03 Residually finite group Profinite group Conjugacy class Normal subgroup Index of a subgroup HNN extension Coset Conjugacy problem Subgroup Abstract algebra Algebra Group theory
19	SEPARABLE SUBSETS OF GFERF NEGATIVELY CURVED GROUPS ASHOT MINASYAN Abstract. A word hyperbolic group G is called GFERF if every quasiconvex subgroup coincides with the intersection of finite index subgroups containing Add to Reading List Source URL: www.personal.soton.ac.uk Language: English - Date: 2006-11-13 05:32:48 Combinatorics on words Geometric group theory Real analysis Lie groups Quasiconvex function Hyperbolic group Kleinian group Residually finite group HNN extension Abstract algebra Group theory Mathematics
20	SEPARABLE SUBSETS OF NEGATIVELY CURVED GROUPS Ashot Minasyan Vanderbilt University Add to Reading List Source URL: www.personal.soton.ac.uk Language: English - Date: 2006-09-25 19:20:02 Geometric group theory Hyperbolic group Metric geometry Residually finite group Topological groups Abstract algebra Group theory Algebra

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