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Groups and Cryptography

  • David R. Finston
  • Patrick J. Morandi
Chapter
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Abstract

The final two applications of abstract algebra we will discuss are to cryptography, i.e., secure transmission of private information, and to the classification of geometric patterns in the plane \(\mathbb{R}^{2}\). The algebraic structure at the heart of both applications is that of a group.

Supplementary material

978-3-319-04498-9_8_MOESM1_ESM.mw (29 kb)
Section-8.2-Exericse-3 (MW 30 KB)

References

  1. 1.
    Herstein I (1975) Topics in algebra, 2nd edn. Wiley, HobokenzbMATHGoogle Scholar
  2. 2.
    Johnson B, Richman F (1997) Numbers and symmetry: an introduction to algebra. CRC, Boca RatonGoogle Scholar
  3. 3.
    Rotman J (1995) An introduction to the theory of groups (Graduate texts in mathematics), 4th edn. Springer, New YorkCrossRefGoogle Scholar
  4. 4.
    Talbot J, Welsh D (2006) Complexity and cryptography: an introduction. Cambridge University Press, CambridgeCrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • David R. Finston
    • 1
    • 2
  • Patrick J. Morandi
    • 3
  1. 1.Department of MathematicsBrooklyn College of the City University of New YorkBrooklynUSA
  2. 2.CUNY Graduate CenterNew YorkUSA
  3. 3.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

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