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.
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William Burnside, 2 July 1852–21 August 1927.
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Brzeziński, J. (2018). Solvable Groups. In: Galois Theory Through Exercises. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-72326-6_12
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DOI: https://doi.org/10.1007/978-3-319-72326-6_12
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Online ISBN: 978-3-319-72326-6
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