Abstract
The most sophisticated tool to analyse local–global questions of cohomological nature in number theory is provided by the Tate–Poitou exact sequence and duality. Our interest in the fibres of the map
which is the central topic of this part, motivates the search for even fragments of a non-abelian generalization of the Tate–Poitou sequence.
Keywords
- Conjugacy Class
- Local Cohomology
- Sophisticated Tool
- Algebraic Number Field
- Global Question
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Eilenberg, S., MacLane, S.: Cohomology theory in abstract groups II. Group extensions with a non-abelian kernel. Ann. Math. 48, 326–341 (1947)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Stix, J. (2013). Fragments of Non-abelian Tate–Poitou Duality. In: Rational Points and Arithmetic of Fundamental Groups. Lecture Notes in Mathematics, vol 2054. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30674-7_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-30674-7_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-30673-0
Online ISBN: 978-3-642-30674-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
