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Introduction

  • Robert A. Wilson
Part of the Graduate Texts in Mathematics book series (GTM, volume 251)

Abstract

The study of (non-abelian) finite simple groups can be traced back at least as far as Galois, who around 1830 understood their fundamental significance as obstacles to the solution of polynomial equations by radicals (square roots, cube roots, etc.). From the very beginning, Galois realised the importance of classifying the finite simple groups, and knew that the alternating groups A n are simple for n≥5, and he constructed (at least) the simple groups PSL2(p) for primes p≥5.

Keywords

Normal Subgroup Conjugacy Class Simple Group Maximal Subgroup Composition Factor 
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 Limited 2009

Authors and Affiliations

  1. 1.School of Mathematical SciencesQueen Mary, University of LondonLondonUK

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