Ramification group information

the ramification groups 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) ramification group. 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 ramification groups. In this article, a local field is non-archimedean and has finite...

Hensel's lemma, Galois extensions of local fields, ramification groups filtrations of Galois groups of local fields, the behavior of the norm map on local...

with a symmetry group of transformations G {\displaystyle G} . Since the symmetry group has stabilizers at the points of the ramification locus, branched...

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...

0}{\frac {g_{i}}{g_{0}}}(\chi (1)-\chi (G_{i}))} where Gi is the i-th ramification group (in lower numbering), of order gi, and χ(Gi) is the average value...

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...

graduate-level algebraic number theory text covering local fields, ramification, group cohomology, and local class field theory. The book's end goal is...

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...

things are: ramification groups and the Nottingham group", in du Sautoy, Marcus; Segal, Dan; Shalev, Aner (eds.), New horizons in pro-p groups, Progress...

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...

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...

offshore conglomerate used for the aero-commercial holding business with ramifications in Bermuda, Panama and Cyprus. Efromovich used a Panamanian offshore...

individuals, the team and the organization. Experiential learning and ramification methods are effective ways to engage millennials in the workplace. Employee...

normal form of a formula, dual to Skolemization Herbrand's theorem on ramification groups Rollo Davidson (1944–1970) – another mathematician who died in a...

conspirators were unable to restore the institutions of the Republic. The ramifications of the assassination led to his martyrdom, the Liberators' civil war...

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...

(2005), "Completing Artin's braid group on infinitely many strands", Journal of Knot Theory and Its Ramifications, 14 (8): 979–991, arXiv:math/0201303...

is an extension generated by radicals of elements. ramification group A ramification group is a group of automorphisms of a ring R fixing some given prime...

is closely associated with covering maps and their degeneration into ramification; the aspect giving rise to monodromy phenomena is that certain functions...