Introduction to group theory
1 Institut Néel, CNRS and University Joseph Fourier, BP. 166, 25 avenue des Martyrs, 38042 Grenoble Cedex 9, France
2 Institut Laue-Langevin, BP. 156, 38042 Grenoble Cedex 9, France
3 Université Joseph Fourier, UFR de Physique, 38041 Grenoble Cedex 9, France
This chapter is a concise mathematical introduction into the algebra of groups. It is build up in the way that definitions are followed by propositions and proofs. The concepts and the terminology introduced here will serve as a basis for the following chapters that deal with group theory in the stricter sense and its application to problems in physics. The mathematical prerequisites are at the bachelor level.1
Supplementary material for illustration can be found in the presentation slides of B. Canals (http://www.ill.eu/news-events/past-events/2009/ecole-theorie-des-groupes/transparents-cours-td-tp/). The reader who would like to learn more about the mathematical foundation of group theory is referred to the literature [1,2].
© Owned by the authors, published by EDP Sciences, 2012