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searching for Galois module 10 found (34 total)

Selmer group (581 words) [view diff] exact match in snippet view article find links to article

theory. More generally one can define the Selmer group of a finite Galois module M (such as the kernel of an isogeny) as the elements of H1(GK,M) that

Ergebnisse der Mathematik und ihrer Grenzgebiete (229 words) [view diff] exact match in snippet view article find links to article

defunct 2. Folge. This sequence started in 1983 with the publication of Galois module structure of algebraic integers by Albrecht Fröhlich. As of February

Hilbert–Speiser theorem (443 words) [view diff] exact match in snippet view article find links to article

(1996). Agboola, A. (1996), "Torsion points on elliptic curves and Galois module structure", Invent Math, 123: 105–122, doi:10.1007/BF01232369 Greither

Norm residue isomorphism theorem (2,291 words) [view diff] exact match in snippet view article find links to article

H^{1}(k,\mu _{\ell })} where μℓ{\displaystyle \mu _{\ell }} denotes the Galois module of ℓ-th roots of unity in some separable closure of k. It induces an

Local class field theory (1,045 words) [view diff] exact match in snippet view article find links to article

field theory. Unlike the classical case, Milnor K-groups do not satisfy Galois module descent if n>1{\displaystyle n>1}. General higher-dimensional local

Elliptic Gauss sum (468 words) [view diff] exact match in snippet view article find links to article

Springer-Verlag, ISBN 978-3-540-66957-9, MR 1761696 Pinch, R. (1988), "Galois module structure of elliptic functions", in Stephens, Nelson M.; Thorne., M

Martin J. Taylor (446 words) [view diff] exact match in snippet view article find links to article

1973, and a Ph.D. from King's College London with a thesis entitled Galois module structure of the ring of integers of l-extensions in 1976 under the

Algebraic number field (8,026 words) [view diff] exact match in snippet view article find links to article

objects, for example a group. Such a group is then also referred to as a Galois module. This enables the use of group cohomology for the Galois group Gal(K)

Hilbert's Theorem 90 (1,817 words) [view diff] exact match in snippet view article find links to article

1007/BF01452845, ISSN 0025-5831, Zbl 0007.29501 Snaith, Victor P. (1994), Galois module structure, Fields Institute monographs, Providence, RI: American Mathematical

Ramification group (2,402 words) [view diff] exact match in snippet view article find links to article

ISBN 0-387-90424-7. MR 0554237. Zbl 0423.12016. Snaith, Victor P. (1994). Galois module structure. Fields Institute monographs. Providence, RI: American Mathematical