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ON THE GALOIS STRUCTURE OF THE S-UNITS FOR CYCLOTOMIC EXTENSIONS OVER Q

  • Author / Creator
    Riveros Pacheco, David Ricardo
  • For K/k a finite Galois extension of number fields with G=Gal(K/k) and S a finite G-stable set of primes of K which is "large", Gruenberg and Weiss proved that the ZG-module structure of the S-units of K is completely determined up to stable isomorphism by: its torsion submodule, the set S, a particular character and the Chinburg class. In this Thesis, we will discuss the possibility of explicitly finding a ZG-module in the same stable isomorphism class of the S-units of K, in the particular case when k is the field of rational numbers and K is a cyclotomic extension over k.

  • Subjects / Keywords
  • Graduation date
    2015-11
  • Type of Item
    Thesis
  • Degree
    Doctor of Philosophy
  • DOI
    https://doi.org/10.7939/R3CR5NM4M
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Doctoral
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • mathematics
  • Supervisor / co-supervisor and their department(s)
    • A.Weiss
  • Examining committee members and their departments
    • Vladimir, Troitsky (Department of Mathematical and Statistical Scinces)
    • Vladimir, Chernousov (Department of Mathematical and Statistical Scinces)
    • Alfred, Weiss (Department of Mathematical and Statistical Scinces)
    • Nicolas, Guay (Department of Mathematical and Statistical Scinces)
    • Charles, Doran (Department of Mathematical and Statistical Scinces)
    • Cristian, Popescu (Department of Mathematics UCSD)