The Main Conjecture and Annihilation of Class Groups

  • Lawrence C. Washington
Part of the Graduate Texts in Mathematics book series (GTM, volume 83)


In the mid 1980s, Thaine and Kolyvagin invented new techniques for constructing relations in ideal class groups. These methods have had profound consequences. Not only is it now possible to give a fairly elementary proof of the Main Conjecture, but these ideas also allowed Rubin to give the first examples of finite Tate-Shafarevich groups for elliptic curves.


Exact Sequence Prime Ideal Class Group Finite Index Main Conjecture 
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.


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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Lawrence C. Washington
    • 1
  1. 1.Mathematics DepartmentUniversity of MarylandCollege ParkUSA

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