Results 21 to 30 of about 241,261 (215)
On characterizations of a center Galois extension
International Journal of Mathematics and Mathematical Sciences, 2000 Let B be a ring with 1, C the center of B, G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, it is shown that B is a center Galois extension of BG (that is, C is a Galois algebra over CG with ...
George Szeto, Lianyong Xue
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Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]
, 2005 Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
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Hopf-Galois structures on a Galois S-extension [PDF]
Journal of Algebra, 2019 In this paper, we shall determine the exact number of Hopf-Galois structures on a Galois $S_n$-extension, where $S_n$ denotes the symmetric group on $n$ letters.
openaire +2 more sources
An overview over the Infinite Galois Theory and Absolute Galois Groups [PDF]
, 2023 openIn this thesis the generalization of classical Galois Theory to the case of infinite algebraic extensions is analyzed. The key point is the notion of Krull topology on groups, providing a Fundamental Theorem of Galois Theory for infinite extensions ...
ZANIN, GIOVANNI
core
On automorphism group of free quadratic extensions over a ring
International Journal of Mathematics and Mathematical Sciences, 1984 Let R be a ring with 1, ρ an automorphism of R of order 2. Then a normal extension of the free quadratic extension R[x,ρ] with a basis {1,x} over R with an R-automorphism group G is characterized in terms of the element (x−(x)α) for α in G.
George Szeto
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Projective varieties have countably many real forms
Comptes Rendus. Mathématique, 2023 In this note, we check that a complex projective algebraic variety has (at most) countably many real forms. We more generally prove it when the field of reals is replaced with a field that has only countably many finite extensions up to isomorphism.
Labinet, Timothée L.
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Galois lattice theory for probabilistic visual landmarks [PDF]
, 2004 This paper presents an original application of the Galois lattice theory, the visual landmark selection for topological localization of an autonomous mobile robot, equipped with a color camera.
Samuelides,Manuel +3 more
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Chern classes of automorphic vector bundles, II [PDF]
Épijournal de Géométrie Algébrique, 2019 We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
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Homotopic Hopf-Galois extensions: foundations and examples [PDF]
, 2009 Hopf-Galois extensions of rings generalize Galois extensions, with the coaction of a Hopf algebra replacing the action of a group. Galois extensions with respect to a group $G$ are the Hopf-Galois extensions with respect to the dual of the group algebra ...
Hess, Kathryn, Kathryn Hess
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A Poset Classifying Non-Commutative Term Orders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We study a poset $\Re$ on the free monoid (X*) on a countable alphabet X.This poset is determined by the fact that its total extensions are precisely the standard term orders on X*.
Jan Snellman
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