Results 51 to 60 of about 772 (199)
Galois module structure of abelian extensions.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1987 Let \(K\) be a number field with ring of integers \(\mathfrak O_K\). If \(L\) is a finite tamely ramified Galois field extension of \(K\) with Galois group \(G\), then \(\mathfrak O_L\) is a rank one projective \(\mathfrak O_KG\)-module, hence represents a class in the class group \(\text{Cl}(\mathfrak O_KG)\).
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Precrossed modules and Galois theory
Journal of Algebra, 2006 Precrossed and crossed modules have an important role in homotopy theory and homological algebra. The adjunction between crossed modules and precrossed modules over a fixed group can be seen as a special case of a more general adjunction between internal groupoids and internal reflexive graphs in a Mal'tsev variety.
Everaert, Tomas, Gran, Marino
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Mordell-Weil group as Galois modules [PDF]
, 2023 Thomas Vavasour, Christian Wüthrich
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Galois representations, $(φ, Γ)$-modules and prismatic F-crystals [PDF]
, 2021 Zhiyou Wu
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Determination of Conductors from Galois Module Structure [PDF]
, 2001 Romyar T. Sharifi
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FACTOR EQUIVALENCE OF GALOIS MODULES AND REGULATOR CONSTANTS [PDF]
International Journal of Number Theory, 2014 We compare two approaches to the study of Galois module structures: on the one hand, factor equivalence, a technique that has been used by Fröhlich and others to investigate the Galois module structure of rings of integers of number fields and of their unit groups, and on the other hand, regulator constants, a set of invariants attached to integral ...
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On the Galois module structure of the square root of the inverse different in abelian extensions [PDF]
, 2015 Cindy Tsang
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Motivic L-functions and Galois module structures
Mathematische Annalen, 1996 During the last decades, many results about varieties over global fields were (at least conjecturally) generalized to motives, which today occupy a prominent position in arithmetic algebraic geometry. Using perfect complexes and their determinants, the conjectures of Bloch and Kato about \(L\)-functions were recently extended to motives with ...
Burns, D., Flach, M.
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Supersingular Hecke modules as Galois representations [PDF]
, 2020 Elmar Grosse-Klönne +1 more
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