ramification

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Related to Unramified: Unramified extension

ramification

 [ram″ĭ-fĭ-ka´shun]
1. distribution in branches.
2. a branch or set of branches.

ram·i·fi·ca·tion

(ram'i-fi-kā'shŭn),
The process of dividing into a branchlike pattern.

ramification

/ram·i·fi·ca·tion/ (ram″ĭ-fĭ-ka´shun)
1. distribution in branches.
2. a branching.

ramification

[ram′ifikā′shən]
Etymology: L, ramus, branch, facere, to make
a branching, distribution.

ram·i·fi·ca·tion

(ram'i-fi-kā'shŭn)
The process of dividing into a branchlike pattern.

ram·i·fi·ca·tion

(ram'i-fi-kā'shŭn)
Process of dividing into a branchlike pattern.

ramification

1. distribution in branches.
2. a branch or set of branches.
References in periodicals archive ?
We call an element of S([xi], [XI]) an unramified Shintani function of type ([xi], [XI]), or simply a Shintani function.
In addition, for a Galois extension k'/k, we define the same notions by considering the maximal unramified extension [k'.
The subgroup <x> has the maximal unramified subextension as its fixed field.
Let F be a number field unramified at p, and let N = F([square root of (-p)]).
are isomorphisms, since Q' is unramified over P', and the inertia group of P' over P has no quotients of order p.
The reader is referred to [3,12,11,2,13,14] and the references therein for more recent progress about unramified Brauer groups and retract rationality of fields.
2](M) is unramified, then [Mathematical Expression Omitted] is irreducible.
Observe that, for a prime p which is unramified in L, we have [N.
beta]]/k are unramified cyclic extensions of degree p,(b) Gal([k.
If the degree was 3 the map would be unramified so there wouldn't be any deformation.
In fact, since the cyclic extension [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is unramified at all finite primes, genus theory tells the 2-part of the narrow ideal class group of Q([square root of [p.
nu]] is unramified, namely there is a (unique up to scalar multiples) [K.