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

  • Number theory
  • Invariant maps
  • S-units
  • Algebraic number theory
  • Cohomology
  • Envelopes

• 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.