Examples of Groups: Finite Groups

  • Igor R. Shafarevich
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 11)

Abstract

In the same way that the general notion of a group relates to transformation groups of an arbitrary set, finite groups relate to groups of transformations of a finite set; in this case, transformations are also called permutations.

Keywords

Symmetry Group Normal Subgroup Finite Group Orthogonal Transformation Rectangular Prism 
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 Berlin Heidelberg 2005

Authors and Affiliations

  • Igor R. Shafarevich
    • 1
  1. 1.Steklov Mathematical InstituteRussian Academy of ScienceMoscowRussia

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