The Binomial Theorem in Characteristic p

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


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.


Finite Field Ring Homomorphism Multiple Root Binomial Theorem Nonzero Homomorphism 
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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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