Field extension

Results: 705



#Item
231Class field theory / Quadratic forms / Field theory / Conductor / Class number formula / Field extension / Algebraic number field / Tensor product of fields / Signature / Abstract algebra / Algebra / Algebraic number theory

IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS I FRANZ LEMMERMEYER Abstract. Following Hasse’s example, various authors have been deriving divisibility properties of minus class numbers of cyclotomic fields by carefull

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:20
232Knowledge / Meta-analysis / Development / Farmer Field School / Rural community development / Sustainable agriculture / Impact evaluation / Science / Evaluation / Systematic review

International Initiative for Impact Evaluation Farmer field schools: from agricultural extension to adult education Making Impact Evaluation Matter Manila, 1st-5th September 2014

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Source URL: www.3ieimpact.org

Language: English - Date: 2014-09-17 10:04:14
233Digital photography / Nature photography / Macrophotography / Camera lens / Extension tube / Digital single-lens reflex camera / Depth of field / Close-up filter / Angle of view / Photography / Optics / Science of photography

02_9780470930632-ftoc.indd

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Source URL: media.wiley.com

Language: English - Date: 2013-08-25 10:14:00
234Hilbert class field / Cubic field / Tensor product of fields / Galois module / Kummer theory / Conductor / Field extension / Ideal class group / Quadratic field / Abstract algebra / Algebra / Algebraic number theory

IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS II FRANZ LEMMERMEYER Abstract. We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:22
235Quadratic field / Hilbert class field / Algebraic number field / Ideal class group / Splitting of prime ideals in Galois extensions / Discriminant / Reciprocity law / Quaternion algebra / Field extension / Abstract algebra / Algebra / Algebraic number theory

CONSTRUCTION OF HILBERT 2-CLASS FIELDS FRANZ LEMMERMEYER Abstract. Let F be a number field with odd class number, and suppose that k/F is a quadratic extension. We will deal with the problem of constructing parts of the

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:18
236Frobenius group / Field extension / Normal extension / Algebraic number theory / Class field theory / Galois theory / Discriminant of an algebraic number field / Abstract algebra / Field theory / Algebra

CLASS GROUPS OF DIHEDRAL EXTENSIONS FRANZ LEMMERMEYER Abstract. Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we w

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:23
237Symbol / Field extension

KURODA’S CLASS NUMBER FORMULA FRANZ LEMMERMEYER Introduction Let k be a number field and K/k a V4 -extension, i.e., a normal extension with Gal(K/k) = V4 , where V4 is Klein’s four-group. K/k has three intermediate f

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:43
238Land management / Farmer Field School / Evaluation / Agriculture / Food and Agriculture Organization / Agricultural extension / Impact evaluation / Development / Rural community development / Sustainable agriculture

International Initiative for Impact Evaluation Farmer field schools: a systematic review Hugh Waddington

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Source URL: www.3ieimpact.org

Language: English - Date: 2014-06-10 05:31:40
239Galois theory / Group theory / Algebraic number theory / Fundamental theorem of Galois theory / Galois group / Galois extension / Automorphism / Quotient group / Field / Abstract algebra / Algebra / Field theory

1. The Theory of Galois Extensions 1.1 The Galois Group In the first two sections we will develop the algebraic foundations of the theory. The fields we are treating are not necessarily algebraic number fields of finite

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2005-03-14 17:24:33
240Class field theory / Field theory / Artin reciprocity law / Hilbert class field / Class number formula / Field extension / Conductor / Algebraic number field / Normal extension / Abstract algebra / Algebra / Algebraic number theory

ON 2-CLASS FIELD TOWERS OF SOME IMAGINARY QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2, 2, 2) whose Hilbert 2-cla

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:05
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