On Dihedral Extensions and Frobenius Extensions

Galois Theory and Modular Forms - Developments in Mathematics ◽

10.1007/978-1-4613-0249-0_10 ◽

2004 ◽

pp. 195-220

Author(s):

Masafumi Imaoka ◽

Yasuhiro Kishi

Keyword(s):

Dihedral Extensions

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On the special values of Artin $L$-functions for dihedral extensions

Functiones et Approximatio Commentarii Mathematici ◽

10.7169/facm/2015.52.1.8 ◽

2015 ◽

Vol 52 (1) ◽

pp. 109-116

Author(s):

Yutaka Konomi

Keyword(s):

Special Values ◽

Dihedral Extensions

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The Brauer–Kuroda formula for higher S-class numbers in dihedral extensions of number fields

Acta Arithmetica ◽

10.4064/aa151-3-1 ◽

2012 ◽

Vol 151 (3) ◽

pp. 217-239 ◽

Cited By ~ 2

Author(s):

Luca Caputo

Keyword(s):

Number Fields ◽

Class Numbers ◽

Dihedral Extensions

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Genus numbers of cyclic and dihedral extensions of prime degree

Acta Arithmetica ◽

10.4064/aa181213-18-6 ◽

2020 ◽

Vol 192 (3) ◽

pp. 289-300

Author(s):

Henry H. Kim

Keyword(s):

Prime Degree ◽

Dihedral Extensions

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Odd parts of tame kernels of dihedral extensions

Acta Arithmetica ◽

10.4064/aa156-4-3 ◽

2012 ◽

Vol 156 (4) ◽

pp. 341-349 ◽

Cited By ~ 1

Author(s):

Haiyan Zhou

Keyword(s):

Tame Kernels ◽

Dihedral Extensions

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On the Hasse norm principle for certain generalized dihedral extensions over $\mathbf{Q}$

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.66.321 ◽

1990 ◽

Vol 66 (10) ◽

pp. 321-324

Author(s):

Masanori Morishita

Keyword(s):

Dihedral Extensions ◽

Norm Principle

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Galois module structure for dihedral extensions of degree 8: Realizable classes over the group ring

Journal of Number Theory ◽

10.1016/j.jnt.2005.01.003 ◽

2005 ◽

Vol 112 (1) ◽

pp. 1-19 ◽

Cited By ~ 8

Author(s):

Nigel P. Byott ◽

Bouchaı¨b Sodaı¨gui

Keyword(s):

Group Ring ◽

Module Structure ◽

Galois Module ◽

Galois Module Structure ◽

Dihedral Extensions

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Relative Galois Module Structure and Steinitz Classes of Dihedral Extensions of Degree 8

Journal of Algebra ◽

10.1006/jabr.1999.8072 ◽

2000 ◽

Vol 223 (1) ◽

pp. 367-378 ◽

Cited By ~ 9

Author(s):

Bouchaı̈b Sodaı̈gui

Keyword(s):

Module Structure ◽

Galois Module ◽

Galois Module Structure ◽

Dihedral Extensions

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Enumerating quartic dihedral extensions of ${\Bbb Q}$ with signatures

Annales de l’institut Fourier ◽

10.5802/aif.1946 ◽

2003 ◽

Vol 53 (2) ◽

pp. 339-377 ◽

Cited By ~ 3

Author(s):

Henri Cohen

Keyword(s):

Dihedral Extensions

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The Structure of Hopf Algebras Acting on Dihedral Extensions

Advances in Algebra - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-11521-0_10 ◽

2019 ◽

pp. 201-218

Author(s):

Alan Koch ◽

Timothy Kohl ◽

Paul J. Truman ◽

Robert Underwood

Keyword(s):

Hopf Algebras ◽

Dihedral Extensions

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The ideal class groups of dihedral extensions over imaginary quadratic fields and the special values of the Artin L-function

Journal of Number Theory ◽

10.1016/j.jnt.2010.11.011 ◽

2011 ◽

Vol 131 (6) ◽

pp. 1062-1069

Author(s):

Yutaka Konomi

Keyword(s):

Quadratic Fields ◽

Ideal Class ◽

Class Groups ◽

Imaginary Quadratic Fields ◽

Special Values ◽

Ideal Class Groups ◽

Dihedral Extensions ◽

The Ideal

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