Results 11 to 20 of about 775 (194)
Book Review: Galois module structure [PDF]
Bulletin of the American Mathematical Society, 1998 A. Agboola
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Induced Hopf Galois structures and their local Hopf Galois modules [PDF]
Publicacions Matemàtiques, 2022 The regular subgroup determining an induced Hopf Galois structure for a Galois extension $L/K$ is obtained as the direct product of the corresponding regular groups of the inducing subextensions. We describe here the associated Hopf algebra and Hopf action of an induced structure and we prove that they are obtained by tensoring the corresponding ...
Daniel Gil-Muñoz, Anna Rio
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Galois $p$-groups and Galois modules [PDF]
Rocky Mountain Journal of Mathematics, 2016 28 pages. To appear in Rocky Mountain Journal of Mathematics.
Chebolu, Sunil +2 more
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Galois module structure of Galois cohomology and partial Euler-Poincare characteristics [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2004 Let F be a field containing a primitive pth root of unity, and let U be an open normal subgroup of index p of the absolute Galois group G_F of F. Using the Bloch-Kato Conjecture we determine the structure of the cohomology group H^n(U,Fp) as an Fp[G_F/U]-module for all n in N.
Nicole Lemire +2 more
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Ramification estimate for Fontaine–Laffaille Galois modules [PDF]
Journal of Algebra, 2015 9 ...
Victor Abrashkin
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Galois theory of module fields
, 2010 This thesis is about Galois theory.The development of a Galois theory for differential equations analogous to the classical Galois theory for polynomial equations was already an aim of S. Lie in the 19th century. The first step in this direction was the development of a Galois theory for linear differential equations due to E. Picard and E.
Florian Heiderich
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Frobenius modules and Galois representations [PDF]
Annales de l'Institut Fourier, 2009 Frobenius modules are difference modules with respect to a Frobenius operator. Here we show that over non-archimedean complete differential fields Frobenius modules define differential modules with the same Picard-Vessiot ring and the same Galois group schemes up to extension by constants.
B. Heinrich Matzat
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Galois modules arising from Faltings's strict modules [PDF]
Compositio Mathematica, 2006 Suppose O is a complete discrete valuation ring of positive characteristic with perfect residue field. The category of finite flat strict modules was introduced recently by Faltings and appears as an equal characteristic analogue of the classical category of finite flat group schemes.
Victor Abrashkin
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Scaffolds and generalized integral Galois module structure [PDF]
Annales de l'Institut Fourier, 2018 Let L/K be a finite, totally ramified p-extension of complete local fields with residue fields of characteristic p>0, and let A be a K-algebra acting on L. We define the concept of an A-scaffold on L, thereby extending and refining the notion of a Galois scaffold considered in several previous papers, where L/K was Galois and A=K[G] for G=Gal(L/K ...
Nigel P. Byott +2 more
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Invariance of recurrence sequences under a galois group
International Journal of Mathematics and Mathematical Sciences, 1996 Let F be a Galois field of order q, k a fixed positive integer and R=Fk×k[D] where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via a fixed normal basis B of L over F. The F-vector space Γk(F)(=Γ(L)) of all
Hassan Al-Zaid, Surjeet Singh
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