Solvable Groups

  • Juliusz Brzeziński
Chapter
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

In this chapter, we define solvable groups, discuss several examples of such groups and prove some of their properties which are needed later on. The background on solvable groups presented in this chapter will become relevant in subsequent chapters when we discuss the solvability of equations by radicals—one of the central applications of Galois theory presented in this book.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Juliusz Brzeziński
    • 1
    • 2
  1. 1.Department of Mathematical SciencesUniversity of GothenburgGöteborgSweden
  2. 2.Chalmers University of TechnologyGöteborgSweden

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