Results 21 to 30 of about 26,376 (196)
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.
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Galois extensions and a conjecture of Ogg
Proceedings of the American Mathematical Society, 2020 Let N = p q N=pq
Klosin, Krzysztof, Papikian, Mihran
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On generalized Hopf galois extensions
Journal of Pure and Applied Algebra, 2005 23 ...
Schauenburg, Peter +1 more
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Counterexamples to a conjecture of Lemmermeyer [PDF]
, 1998 We produce infinitely many finite 2-groups that do not embed with index 2 in any group generated by involutions. This disproves a conjecture of Lemmermeyer and restricts the possible Galois groups of unramified 2-extensions, Galois over the rationals, of
Boston, Nigel, Leedham-Green, Charles
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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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Commutative quartic P-Galois extensions over a field of characteristic 2 [PDF]
, 2004 Let A/R be a ring extension and P a subset of Hom(A(R),A(R)). In his paper [5], K. Kishimoto introduced the notion of a P-Galois extension and gave several basic properties of these extensions.
Nakajima, Atsushi
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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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Construction of Generalized Rademacher Functions in Terms of Ternary Logic: Solving the Problem of Visibility of Using Galois Fields for Digital Signal Processing [PDF]
International Journal of Electronics and Telecommunications, 2022 Generalized Rademacher functions, constructed as a sequence of elements of Galois fields are intended to find the spectral representation of signals with levels.
Elizaveta S. Vitulyova +2 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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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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