AuthorLetizia, William Aaron
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PublisherThe University of Arizona.
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AbstractThe p-adic numbers give a new technique to answer questions about the integers and rational numbers. While they are typically used in a more abstract setting, I will present two concrete applications of p-adic numbers. The major results that I will prove in this paper are that any ﬁnite subgroup of GLn(Q) must divide 24 and that the set of zeros of any integer linear recurrence sequence is the union of a ﬁnite number of ﬁnite sets and a ﬁnite number of arithmetic progressions. The latter result is better known as the Skolem-Mahler-Lech Theorem.
Degree ProgramHonors College