Modular Units pp 110-145 | Cite as

The Cuspidal Divisor Class Group on X(N)

  • Daniel S. Kubert
  • Serge Lang
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 244)


In the most classical situation, the Galois group of the field Q(μ N ) of roots of unity operates on ideal classes and units modulo cyclotomic units. Classical problems of number theory are concerned with the eigenspace decomposition of the p-primary part of these groups when N = p, and of the structures as Galois modules in general. Results include those of Kummer, Stickelberger, Herbrand, and more recently Iwasawa, Leopoldt, and Ribet. Also in recent times, such results have been the object of study in the case of complex multiplication of elliptic curves for the elliptic units as in Robert and Coates-Wiles.


Modular Form Group Ring Admissible Pair Projective Limit Bernoulli Number 
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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • Daniel S. Kubert
  • Serge Lang

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