Results 41 to 50 of about 5,607,191 (74)
Galois structure of Zariski cohomology for weakly ramified covers of curves
, 2004 We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic ...
Koeck, Bernhard
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Isomorphism problems for Hopf-Galois structures on separable field extensions [PDF]
, 2019 Let L=K be a finite separable extension of fields whose Galois closure E=K has Galois group G. Greither and Pareigis use Galois descent to show that a Hopf algebra giving a Hopf-Galois structure on L=K has the form E[N]G for some group N of order [L : K].
Koch, Alan +3 more
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Correspondence theorems for infinite Hopf-Galois extensions [PDF]
This paper extends Hopf-Galois theory to infinite field extensions and provides a natural definition of subextensions. For separable (possibly infinite) Hopf-Galois extensions, it provides a Galois correspondence.
WIESE, Gabor +2 more
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On the Galois module structure of units in met acyclic extensions [PDF]
, 1996 Let Г be a metacyclic group of order pq with p and q prime. We shall show that the Г-cohomology and character of a Г-lattice determine its genus. Let N/L be a Galois extension with group Г, then U(_N), the torsion-free units of N, is a Г-lattice and the ...
McGaul, K.Y., McGaul, Karen Yvonne
core
Galois extensions of structured ring spectra [PDF]
, 2005 We introduce the notion of a Galois extension of commutative S-algebras (E_infty ring spectra), often localized with respect to a fixed homology theory. There are numerous examples, including some involving Eilenberg-Mac Lane spectra of commutative rings,
Rognes, John
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Projective modules of group rings over quadratic number fields [PDF]
, 1994 Let K be a quadratic number field, Ok its ring of integers, and G a cyclic group of order prime p. In this thesis, we study the kernel group D(O(_K)G) and obtain a number of results concerning its order and structure. For K imaginary, we also investigate
Ahmed, Iftikhar
core
On the Galois correspondence theorem in separable Hopf Galois theory
, 2021 In this paper we present a reformulation of the Galois correspondence theorem of Hopf Galois theory in terms of groups carrying farther the description of Greither and Pareigis.
Rio Doval, Anna +2 more
core
Existence of Generalized Local Class Fields. [PDF]
Proc Natl Acad Sci U S A, 1953 Whaples G.
europepmc +1 more source
SPLITTING OF VALUATIONS IN EXTENSIONS OF LOCAL DOMAINS. [PDF]
Proc Natl Acad Sci U S A, 1955 Abhyankar S, Zariski O.
europepmc +1 more source
Report on the Development of the Advanced Encryption Standard (AES). [PDF]
J Res Natl Inst Stand Technol, 2001 Nechvatal J +6 more
europepmc +1 more source