Galois Groups and the Symmetries of Polynomials

Paul Abbott​
School of Physics, Mathematics and Computing
The University of Western Australia
​paul.c.abbott@uwa.edu.au
In this note I use the GaloisGroupProperties resource function to illuminate some of the ideas discussed in the Quanta magazine article on Galois Groups and the Symmetries of Polynomials. This article would have benefited by displaying—and explaining—the Cayley graph representation of each group.

GaloisGroupProperties


f(x)=
3
x
-7x+5


g(x)=
3
x
-7x+7


Galois Group for
3
x
+α
2
x
+βx+γ
