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Groups

  • Teturo Inui
  • Yukito Tanabe
  • Yositaka Onodera
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 78)

Abstract

This chapter is devoted to the mathematical definition of a group and related concepts. The examples of groups found throughout the chapter are intended to enable beginners to become acquainted with the concepts of groups. The asterisked sections (Sects. 2.7, 9–11) concern more advanced applications of group theory and may be skipped on a first reading, with the reader returning to them later as occasion arises.

Keywords

Group Element Unit Element Proper Subgroup Mirror Plane Multiplication Table 
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 1990

Authors and Affiliations

  • Teturo Inui
    • 1
  • Yukito Tanabe
    • 1
  • Yositaka Onodera
    • 2
  1. 1.Japan Women’s UniversityBunkyo-ku, Tokyo 112Japan
  2. 2.Department of Physics, School of Science and TechnologyMeiji UniversityTama-ku, Kawasaki 214Japan

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