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The Elements

  • Geoff C. Smith
  • Olga M. Tabachnikova
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

In this chapter we recap basic definitions and results from the theory of groups, up to and including Lagrange’s Theorem. We take this early opportunity to announce that 0 is not a natural number for the purposes of this book. Thus \(0 \notin \mathbb{N}\).

Keywords

Cyclic Group Identity Element Finite Index Rigid Motion Dihedral Group 
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-Verlag London 2000

Authors and Affiliations

  • Geoff C. Smith
    • 1
  • Olga M. Tabachnikova
    • 1
  1. 1.School of Mathematical SciencesUniversity of BathBathUK

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