On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2

Communications in Algebra ◽

10.1080/00927872.2021.1982957 ◽

2021 ◽

pp. 1-13

Author(s):

Kamel Mazhouda ◽

Bouchaïb Sodaïgui ◽

Mohammed Taous

Keyword(s):

Galois Module ◽

Abelian Extensions

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On the Galois module structure of the square root of the inverse different in abelian extensions

Journal of Number Theory ◽

10.1016/j.jnt.2015.09.010 ◽

2016 ◽

Vol 160 ◽

pp. 759-804 ◽

Author(s):

Cindy (Sin Yi) Tsang

Keyword(s):

Module Structure ◽

Square Root ◽

Galois Module ◽

Abelian Extensions ◽

Galois Module Structure

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Galois module structure of abelian extensions.

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

10.1515/crll.1987.375-376.259 ◽

1987 ◽

Vol 1987 (375-376) ◽

pp. 259-306 ◽

Keyword(s):

Module Structure ◽

Galois Module ◽

Abelian Extensions ◽

Galois Module Structure

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Unramified Abelian Extensions of CM -Fields and their Galois Module Structure

Bulletin of the London Mathematical Society ◽

10.1112/blms/24.3.236 ◽

1992 ◽

Vol 24 (3) ◽

pp. 236-242 ◽

Author(s):

Jan Brinkhuis

Keyword(s):

Module Structure ◽

Galois Module ◽

Abelian Extensions ◽

Galois Module Structure

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Integral Galois module structure for elementary abelian extensions with a Galois scaffold

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2014-12126-5 ◽

2014 ◽

Vol 142 (11) ◽

pp. 3705-3712 ◽

Author(s):

Nigel P. Byott ◽

G. Griffith Elder

Keyword(s):

Module Structure ◽

Galois Module ◽

Abelian Extensions ◽

Galois Module Structure

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On the Galois Module Structure of Rings of Integers of Wild Abelian Extensions

Journal of the London Mathematical Society ◽

10.1112/jlms/52.1.73 ◽

1995 ◽

Vol 52 (1) ◽

pp. 73-87 ◽

Author(s):

M. J. Taylor

Keyword(s):

Module Structure ◽

Galois Module ◽

Abelian Extensions ◽

Galois Module Structure ◽

Rings Of Integers

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Galois module structure of integers of relative abelian extensions.

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

10.1515/crll.1978.303-304.97 ◽

1978 ◽

Vol 1978 (303-304) ◽

pp. 97-101 ◽

Keyword(s):

Module Structure ◽

Galois Module ◽

Abelian Extensions ◽

Galois Module Structure

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Galois module structure of elementary abelian extensions

Journal of Algebra ◽

10.1016/0021-8693(83)90176-x ◽

1983 ◽

Vol 82 (1) ◽

pp. 102-134 ◽

Author(s):

Leon R McCulloh

Keyword(s):

Module Structure ◽

Galois Module ◽

Abelian Extensions ◽

Galois Module Structure

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Realizable Galois module classes over the group ring for non abelian extensions

Annales de l’institut Fourier ◽

10.5802/aif.2762 ◽

2013 ◽

Vol 63 (1) ◽

pp. 303-371 ◽

Author(s):

Nigel P. Byott ◽

Bouchaïb Sodaïgui

Keyword(s):

Galois Module ◽

Abelian Extensions

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ON ABELIAN EXTENSIONS OVER CYCLOTOMIC ZPl × ... × ZPt-EXTENSIONS

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.38.141 ◽

1984 ◽

Vol 38 (2) ◽

pp. 141-149

Author(s):

Kazuhito KOZUKA

Keyword(s):

Abelian Extensions

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Galois Module Structure of Algebraic Integers

10.1007/978-3-642-68816-4 ◽

1983 ◽

Author(s):

Albrecht Fröhlich

Keyword(s):

Module Structure ◽

Galois Module ◽

Algebraic Integers ◽

Galois Module Structure

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