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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
176 Solution by Radicals
of f . It follows easily that the map g 7→ g
0
is a group monomorphism of G into the
group S
n
of all permutations of the zeros of f . In other words, we can think of G as
a group of permutations on the zeros of f . This, in effect, was how Galois thought
of the Galois group, and for many years afterwards the only groups considered by
mathematicians were permutation groups and groups of transformations of variables.
Arthur Cayley was the first to propose a definition for an abstract group, although it
seems that the earliest satisfactory axiom system for groups was given by Leopold
Kronecker in 1870 (Huntingdon 1905).
We may restate ...
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Publisher Resources

ISBN: 9781482245837