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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 13
A Worked Example
The Fundamental Theorem of Galois theory is quite a lot to take in at one go, so it is
worth spending some time thinking it through. We therefore analyse how the Galois
correspondence works out on an extended example.
The extension that we discuss is a favourite with writers on Galois theory, because
of its archetypal quality. A simpler example would be too small to illustrate the theory
adequately, and anything more complicated would be unwieldy. The example is the
Galois group of the splitting field of t
4
2 over Q.
The discussion will be cut into small pieces to make it more easily digestible.
(1) Let f (t) = t
4
2 over Q
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Publisher Resources

ISBN: 9781482245837