Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • On number fields with given ramification

  • Part of
  • Gaëtan Chenevier
  • Journal:
    Compositio Mathematica / Volume 143 / Issue 6 / November 2007
    Published online by Cambridge University Press:
    01 November 2007, pp. 1359-1373
    Print publication:
    November 2007
    • Article
      • You have access
    • PDF
    • Export citation

  • Let E be a CM number field and let S be a finite set of primes of E containing the primes dividing a given prime number l and another prime u split above the maximal totally real subfield of E. If ES denotes a maximal algebraic extension of E which is unramified outside S, we show that the natural maps are injective. We discuss generalizations of this result.

  • On the Relation between 2 and ∞ in Galois Cohomology of Number Fields

  • Alexander Schmidt
  • Journal:
    Compositio Mathematica / Volume 133 / Issue 3 / September 2002
    Published online by Cambridge University Press:
    04 December 2007, pp. 267-288
    Print publication:
    September 2002
    • Article
      • You have access
    • PDF
    • Export citation

  • We remove the assumption ‘p≠ 2 or k is totally imaginary’ from several well-known theorems on Galois groups with restricted ramification of number fields. For example, we show that the Galois group of the maximal extension of a number field k which is unramified outside 2 has finite cohomological 2-dimension (also if k has real places).