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Part of the book series: Undergraduate Texts in Mathematics ((UTM))

Abstract

A famous and important theorem of number theory due to Fermat (c. 1640) gives, among other uses, a different way to find the inverse of a nonzero element of ℤp, p prime. We have already seen how to find the inverse of [a]p by solving ax +py = 1, using Euclid’s algorithm and Bezout’s identity.

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© 1979 Springer-Verlag New York Inc.

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Childs, L. (1979). Fermat’s Theorem, I: Abelian Groups. In: A Concrete Introduction to Higher Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0065-6_11

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  • DOI: https://doi.org/10.1007/978-1-4684-0065-6_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-0067-0

  • Online ISBN: 978-1-4684-0065-6

  • eBook Packages: Springer Book Archive

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