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The Binomial Theorem in Characteristic p

  • Lindsay N. Childs
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The binomial theorem describes how to expand the sum of two terms raised to a positive integer power. It implies that the pth power map is a ring homomorphism on rings of characteristic p. One consequence of this fact is new proofs of Fermat’s and Euler’s theorems.

Keywords

Finite Field Ring Homomorphism Multiple Root Binomial Theorem Nonzero Homomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Lindsay N. Childs
    • 1
  1. 1.Department of MathematicsSUNY at AlbanyAlbanyUSA

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