Quadratic and cubic reciprocity

Publication Year:
2012
Usage 661
Downloads 638
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Repository URL:
http://dc.ewu.edu/theses/27
Author(s):
Rousseau, Suzanne
Tags:
Reciprocity theorems; Algebra; Abstract; Group theory; Physical Sciences and Mathematics
thesis / dissertation description
"In this thesis, we seek to prove results about quadratic and cubic reciprocity in great detail. Although these results appear in many textbooks, the proofs often contain large gaps that may be difficult for the average reader to follow. To achieve this goal, we have 'built up to reciprocity theory from basic principles of algebra, and whenever possible, we have tried to prove the number theoretic results of reciprocity using ideas from group theory. This thesis could potentially serve as a reference for a student who desires to study quadratic or cubic reciprocity in more detail, or as a foundation for studying higher reciprocity laws"--Document.