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Galois Theory, 4th Edition
book

Galois Theory, 4th Edition

by Ian Nicholas Stewart
March 2015
Intermediate to advanced content levelIntermediate to advanced
344 pages
10h 18m
English
Chapman and Hall/CRC
Content preview from Galois Theory, 4th Edition
Chapter 14
Solubility and Simplicity
In order to apply the Galois correspondence, in particular to solving equations by
radicals, we need to have at our fingertips a number of group-theoretic concepts and
theorems. We have already assumed familiarity with elementary group theory: sub-
groups, normal subgroups, quotient groups, conjugates, permutations (up to cycle
decomposition): to these we now add the standard isomorphism theorems. The rel-
evant theory, along with most of the material in this chapter, can be found in any
basic textbook on group theory, for example Fraleigh (1989), Humphreys (1996), or
Neumann, Stoy, and Thompson (1994).
We start by ...
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Publisher Resources

ISBN: 9781482245837