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Finite Field Extensions of the p-adic Numbers

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Author
Gomm, Annalee
Advisor
Blackadar, Bruce E.
Date
2011
Type
Thesis
Department
Mathematics and Statistics
Degree Level
Master's Degree
Statistics

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Abstract
When we complete the rational numbers Q with respect to the usual absolute value, we obtain the real numbers R. If we complete Q with respect to the so-called p-adic absolute value, we get a new field, Qp. In this paper, we demonstrate a method for finding finite field extensions of Qp by determining all extensions of Qp of degree five in the case p = 5.
Permanent link
http://hdl.handle.net/11714/3865
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Committee MemberDeaconu, Valentin
RightsIn Copyright(All Rights Reserved)
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