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General Facts About Groups

  • Pr Yvette Kosmann-Schwarzbach
  • Stephanie Frank Singer
Chapter
Part of the Universitext book series (UTX)

Abstract

A group is a set equipped with an associative composition law, containing an identity element and such that each element has an inverse. The identity element, also called the unit element, may be denoted by e, 1, or, in the case of a matrix group, I.

Keywords

Normal Subgroup Conjugacy Class Symmetric Group Semidirect Product 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 New York 2010

Authors and Affiliations

  • Pr Yvette Kosmann-Schwarzbach
    • 1
  • Stephanie Frank Singer
    • 2
  1. 1.Ecole PolytechniquePalaiseauFrance
  2. 2.PhiladelphiaUSA

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