Finite Field Extensions of the p-adic Numbers
AdvisorBlackadar, Bruce E
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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.