The Structure of Groups

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


The application of group theory to cryptography discussed in the previous chapter utilized abelian groups, i.e., groups whose operation satisfies the commutative property. Nonabelian groups have also found application in many areas including cryptography, chemistry, physics, and even in interior and exterior decorating (wallpaper patterns and frieze patterns, respectively) as we’ll see in the final chapter of this text. The present chapter develops some general structure theory of groups essential to these applications.


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    Herstein I (1975) Topics in algebra, 2nd edn. Wiley, HobokenzbMATHGoogle Scholar
  2. 2.
    Rotman J (1995) An introduction to the theory of groups (Graduate texts in mathematics), 4th edn. Springer, New YorkCrossRefGoogle 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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