An index formula for the relative class number of an abelian number field
β Scribed by Kurt Girstmair
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 520 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We derive an alternative formula for the number of Euler trails on strongly connected directed pseudographs whose every vertex has outdegree and indegree both equal to two in terms of an intersection matrix.
The present article is really a continuation of the author's earlier paper [,l] on this subject. The line of investigation described previously is rounded off by deriving some further numcrical results, which include, in particular, an asymptotic fonnula for the number of complete propositional conn
Let p be a fixed odd prime number and k an imaginary abelian field containing a primitive p th root `p of unity. Let k Γk be the cyclotomic Z p -extension and LΓk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(LΓk ) and Y=Gal(L & NΓk ), and let