A basis for the group of units modulo ρᵐ and prime ideal decomposition in F(μ¹/ᵐ)
Author
Velez, William Yslas, 1947-Issue Date
1975Keywords
Mathematics
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The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
In Chapter II we consider the problem of constructing an independent set of generators for the multiplicative group of units modulo ρᵐ, where ρ is a prime ideal in an algebraic number field F. Sections 4 and 5 contain a procedure for constructing such a set of independent generators. In Chapters III and IV, we consider the prime ideal decomposition of ρ in F(μ¹/ᵐ). In Chapter III we deal with the situation where (m,ρ) = 1. In Chapter IV we consider the case where m = pᶜ, p is a rational prime, and ρ ⊃ (p).Type
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeMathematics