This lecture covers the application of Hensel's lemma in determining nth roots in Ip for all a, focusing on the kernel of Z to Zp. The instructor discusses the image and elements in Z = { x = Zp | 1x1=1} that are nth powers.
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P-adic numbers are a number theoretic analogue of the real numbers, which interpolate between arithmetics, analysis and geometry. In this course we study their basic properties and give various applic
