For afield k, We denote the maximal abelian extension of k by k(ab) and (k(ab)r-1)ab by k(ab)r. In this paper, unramified Galois extensions over k(ab)r are constructed using Galois representations of arbitrary dimension with larger coefficient rings.
机构:
Univ Polytech Hauts De France, Ceramaths FR, CNRS 2037, F-59313 Valenciennes, France
Univ Moulay Ismail, Fac Sci, Meknes, MoroccoUniv Polytech Hauts De France, Ceramaths FR, CNRS 2037, F-59313 Valenciennes, France
AL Uartassi, Ayoub
Sodaigui, Bouchaib
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Univ Polytech Hauts De France, Ceramaths FR, CNRS 2037, F-59313 Valenciennes, FranceUniv Polytech Hauts De France, Ceramaths FR, CNRS 2037, F-59313 Valenciennes, France
Sodaigui, Bouchaib
Taous, Mohammed
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Univ Mohammed Premie, Fac Sci, Dept Math, Oujda, MoroccoUniv Polytech Hauts De France, Ceramaths FR, CNRS 2037, F-59313 Valenciennes, France