Computation of 2-groups of narrow logarithmic divisor classes of number fields
نویسندگان
چکیده
We present an algorithm for computing the 2-group e C` res F of narrow logarithmic divisor classes of degree 0 for number fields F . As an application, we compute in some cases the 2-rank of the wild kernel WK2(F ) and the 2-rank of its subgroup K ∞ 2 (F ) := ∩n≥1K 2 (F ) of infinite height elements in K2(F ).
منابع مشابه
A generalization of zero-divisor graphs
In this paper, we introduce a family of graphs which is a generalization of zero-divisor graphs and compute an upper-bound for the diameter of such graphs. We also investigate their cycles and cores
متن کاملA new Algorithm for the Computation of Logarithmic `-Class Groups of Number Fields
We present an algorithm for the computation of logarithmic `-class groups of number fields. Our principal motivation is the effective determination of the `-rank of the wild kernel in the K-theory of number fields.
متن کاملA New Algorithm for the Computation of Logarithmic l-Class Groups of Number Fields
We present an algorithm for the computation of logarithmic `-class groups of number fields. Our principal motivation is the effective determination of the `-rank of the wild kernel in the K-theory of number fields.
متن کاملA Criterion for the Logarithmic Differential Operators to Be Generated by Vector Fields
We study divisors in a complex manifold in view of the property that the algebra of logarithmic differential operators along the divisor is generated by logarithmic vector fields. We give • a sufficient criterion for the property, • a simple proof of F.J. Calderón–Moreno’s theorem that free divisors have the property, • a proof that divisors in dimension 3 with only isolated quasi–homogeneous s...
متن کاملOn the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields
Given any family of cubic fields defined by local conditions at finitely many primes, we determine the mean number of 2-torsion elements in the class groups and narrow class groups of these cubic fields, when they are ordered by their absolute discriminants. For an order O in a cubic field, we study the three groups: Cl2(O), the group of ideal classes of O of order 2; Cl2 (O), the group of narr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Symb. Comput.
دوره 44 شماره
صفحات -
تاریخ انتشار 2009