Filtration of the Galois group of a local field extension
In number theory, more specifically in local class field theory, the ramification groups are a filtration of the Galois group of a local field extension, which gives detailed information on the ramification phenomena of the extension.
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the ramificationgroups are a filtration of the Galois group of a local field extension, which gives detailed information on the ramification phenomena...
Look up ramification in Wiktionary, the free dictionary. Ramification may refer to: Ramification (mathematics), a geometric term used for 'branching out'...
(first) ramificationgroup. If K is a local or global field, the theory of class formations attaches to K its Weil group WK, a continuous group homomorphism...
detailed analysis can be carried out with the aid of tools such as ramificationgroups. In this article, a local field is non-archimedean and has finite...
Hensel's lemma, Galois extensions of local fields, ramificationgroups filtrations of Galois groups of local fields, the behavior of the norm map on local...
number field K, with respect to the field trace. It then encodes the ramification data for prime ideals of the ring of integers. It was introduced by Richard...
with a symmetry group of transformations G {\displaystyle G} . Since the symmetry group has stabilizers at the points of the ramification locus, branched...
0}{\frac {g_{i}}{g_{0}}}(\chi (1)-\chi (G_{i}))} where Gi is the i-th ramificationgroup (in lower numbering), of order gi, and χ(Gi) is the average value...
graduate-level algebraic number theory text covering local fields, ramification, group cohomology, and local class field theory. The book's end goal is...
things are: ramificationgroups and the Nottingham group", in du Sautoy, Marcus; Segal, Dan; Shalev, Aner (eds.), New horizons in pro-p groups, Progress...
of early Islam, with all the political, religious and eschatological ramifications that this would imply. Abu Abdullah al-Muhajir, an Egyptian Jihadist...
"Semiabelian Groups and the Inverse Galois Problem". Courant Institute of Mathematical Sciences. De Witt, Meghan (2014). "Minimal ramification and the inverse...
is called inertia degree of Pj over p. The multiplicity ej is called ramification index of Pj over p. If it is bigger than 1 for some j, the field extension...
individuals, the team and the organization. Experiential learning and ramification methods are effective ways to engage millennials in the workplace. Employee...
offshore conglomerate used for the aero-commercial holding business with ramifications in Bermuda, Panama and Cyprus. Efromovich used a Panamanian offshore...
group is abelian). The 2-torus double-covers the 2-sphere, with four ramification points. Every conformal structure on the 2-torus can be represented as...
f(z_{0})} is a positive integer called the ramification index of z 0 {\displaystyle z_{0}} . If the ramification index is greater than 1, then z 0 {\displaystyle...
adjoining a root of x3 - x - 1, which has discriminant -23. To see why ramification at the archimedean primes must be taken into account, consider the real...
is an extension generated by radicals of elements. ramificationgroup A ramificationgroup is a group of automorphisms of a ring R fixing some given prime...
normal form of a formula, dual to Skolemization Herbrand's theorem on ramificationgroups Rollo Davidson (1944–1970) – another mathematician who died in a...
is closely associated with covering maps and their degeneration into ramification; the aspect giving rise to monodromy phenomena is that certain functions...