On unramified Galois extensions over maximum abelian extensions of algebraic number fields

Mathematische Annalen ◽

10.1007/bf01455299 ◽

1985 ◽

Vol 270 (4) ◽

pp. 477-487 ◽

Author(s):

Mamoru Asada

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Galois Extensions ◽

Abelian Extensions

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On infinite unramified Galois extensions of algebraic number fields with many primes decomposing almost completely

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03840599 ◽

1986 ◽

Vol 38 (4) ◽

pp. 599-605 ◽

Author(s):

Ken YAMAMURA

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Galois Extensions

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The Hasse norm principle modulo m of finite Galois extensions of algebraic number fields and a generalization of a theorem of Fröhlich on the e-divisibility of the class numbers of e-abelian fields

Japanese journal of mathematics ◽

10.4099/math1924.20.231 ◽

1994 ◽

Vol 20 (2) ◽

pp. 231-268

Author(s):

Teruo TAKEUCHI

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Class Numbers ◽

Algebraic Number Fields ◽

Galois Extensions ◽

Abelian Fields ◽

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The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.63.27 ◽

1987 ◽

Vol 63 (2) ◽

pp. 27-30 ◽

Author(s):

Shin-ichi Katayama

Keyword(s):

Algebraic Number ◽

Euler Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Galois Extensions

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Solitary Galois Extensions of Algebraic Number Fields

Journal of Number Theory ◽

10.1006/jnth.1995.1001 ◽

1995 ◽

Vol 50 (1) ◽

pp. 1-32 ◽

Author(s):

R.M. Guralnick ◽

L. Stern

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Galois Extensions

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On some infinite Abelian extensions of algebraic number fields

Kenkichi Iwasawa Collected Papers ◽

10.1007/978-4-431-67947-9_49 ◽

2001 ◽

pp. 620-623

Author(s):

Ichiro Satake ◽

Genjiro Fujisaki ◽

Kazuya Kato ◽

Masato Kurihara ◽

Shoichi Nakajima

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Abelian Extensions

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Steinitz classes of tamely ramified Galois extensions of algebraic number fields

Journal of Number Theory ◽

10.1016/j.jnt.2009.12.004 ◽

2010 ◽

Vol 130 (5) ◽

pp. 1129-1154 ◽

Author(s):

Alessandro Cobbe

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Galois Extensions

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On Unramified Galois Extensions of Certain Algebraic Number Fields

Tokyo Journal of Mathematics ◽

10.3836/tjm/1270128489 ◽

1993 ◽

Vol 16 (2) ◽

pp. 351-354

Author(s):

Kenzo KOMATSU ◽

Takashi NODERA

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Galois Extensions

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On the History of the Artin Reciprocity Law in Abelian Extensions of Algebraic Number Fields: How Artin was Led to his Reciprocity Law

The Legacy of Niels Henrik Abel ◽

10.1007/978-3-642-18908-1_8 ◽

2004 ◽

pp. 267-294 ◽

Author(s):

Günther Frei

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Abelian Extensions ◽

Reciprocity Law ◽

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Some unramified abelian extensions of algebraic number fields.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1974.268-269.165 ◽

1974 ◽

Vol 1974 (268-269) ◽

pp. 165-173 ◽

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Abelian Extensions

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On a modular algorithm for computing GCDs of polynomials over algebraic number fields

Proceedings of the international symposium on Symbolic and algebraic computation - ISSAC '94 ◽

10.1145/190347.190365 ◽

1994 ◽

Author(s):

Mark J. Encarnación

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Algebraic Number Fields ◽

Modular Algorithm

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