normal integral basis
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How far is an extension of p-adic fields from having a normal integral basis?

Journal of Number Theory ◽

10.1016/j.jnt.2021.06.008 ◽

2021 ◽

Author(s):

Ilaria Del Corso ◽

Fabio Ferri ◽

Davide Lombardo

Keyword(s):

Integral Basis ◽

Normal Integral Basis

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Normal integral basis of an unramified quadratic extension over a cyclotomic \mathbb{Z}_2-extension

Journal de Théorie des Nombres de Bordeaux ◽

10.5802/jtnb.942 ◽

2016 ◽

Vol 28 (2) ◽

pp. 325-345

Author(s):

Humio Ichimura ◽

Hiroki Sumida-Takahashi

Keyword(s):

Quadratic Extension ◽

Integral Basis ◽

Normal Integral Basis

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Note on Galois descent of a normal integral basis of acyclic extension of degree p

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.85.160 ◽

2009 ◽

Vol 85 (10) ◽

pp. 160-162 ◽

Author(s):

Humio Ichimura

Keyword(s):

Integral Basis ◽

Normal Integral Basis

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Normal integral basis and ray class group modulo 4

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.79.139 ◽

2003 ◽

Vol 79 (9) ◽

pp. 139-141 ◽

Author(s):

Humio Ichimura ◽

Fuminori Kawamoto

Keyword(s):

Class Group ◽

Integral Basis ◽

Normal Integral Basis ◽

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On a Normal Integral Basis Problem over Cyclotomic Zp-extensions, II

Journal of Number Theory ◽

10.1006/jnth.2002.2791 ◽

2002 ◽

Vol 96 (1) ◽

pp. 105-132

Author(s):

Humio Ichimura

Keyword(s):

Integral Basis ◽

Basis Problem ◽

Normal Integral Basis

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On a Normal Integral Basis Problem over Cyclotomic Zp-extensions, II

Journal of Number Theory ◽

10.1016/s0022-314x(02)92791-5 ◽

2002 ◽

Vol 96 (1) ◽

pp. 105-132 ◽

Author(s):

H Ichimura

Keyword(s):

Integral Basis ◽

Basis Problem ◽

Normal Integral Basis

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On a relative normal integral basis problem over abelian number fields

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.69.413 ◽

1993 ◽

Vol 69 (10) ◽

pp. 413-416 ◽

Author(s):

Humio Ichimura

Keyword(s):

Number Fields ◽

Integral Basis ◽

Basis Problem ◽

Normal Integral Basis

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A normal integral basis Theorem

Journal of Algebra ◽

10.1016/0021-8693(80)90103-9 ◽

1980 ◽

Vol 66 (2) ◽

pp. 544-549 ◽

Author(s):

Alexander Sze

Keyword(s):

Integral Basis ◽

Basis Theorem ◽

Normal Integral Basis

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A normal integral basis theorem for dihedral groups

Tohoku Mathematical Journal ◽

10.2748/tmj/1178229681 ◽

1980 ◽

Vol 32 (1) ◽

pp. 49-62 ◽

Author(s):

Takehiko Miyata

Keyword(s):

Integral Basis ◽

Dihedral Groups ◽

Basis Theorem ◽

Normal Integral Basis

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A normal integral basis theorem

Journal of Algebra ◽

10.1016/0021-8693(76)90065-x ◽

1976 ◽

Vol 39 (1) ◽

pp. 131-137 ◽

Author(s):

A Fröhlich

Keyword(s):

Integral Basis ◽

Basis Theorem ◽

Normal Integral Basis

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