Line 6: Line 6:
 
https://www.jstor.org/stable/2974763?seq=1 (Proof of Polynomials of degree 5 or higher being unsolvable in the general sense) <br />
 
https://www.jstor.org/stable/2974763?seq=1 (Proof of Polynomials of degree 5 or higher being unsolvable in the general sense) <br />
 
https://en.wikipedia.org/wiki/Group_(mathematics) (Information for groups) <br />
 
https://en.wikipedia.org/wiki/Group_(mathematics) (Information for groups) <br />
 +
https://mathworld.wolfram.com/GaloisGroup.html (Galois Group Definition) <br />
 
Images: <br />
 
Images: <br />
 
https://commons.wikimedia.org/wiki/File:Cyclic_group.svg (Figure 2.1) <br />
 
https://commons.wikimedia.org/wiki/File:Cyclic_group.svg (Figure 2.1) <br />

Revision as of 20:18, 6 December 2020


References and Further Reading

References:
Information:
https://www.jstor.org/stable/2974763?seq=1 (Proof of Polynomials of degree 5 or higher being unsolvable in the general sense)
https://en.wikipedia.org/wiki/Group_(mathematics) (Information for groups)
https://mathworld.wolfram.com/GaloisGroup.html (Galois Group Definition)
Images:
https://commons.wikimedia.org/wiki/File:Cyclic_group.svg (Figure 2.1)
https://www.johndcook.com/blog/2013/12/02/visualizing-galois-groups-of-quadratics/ (Figure 4.1)
https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem (Figure 4.2 and 4.3)
https://commons.wikimedia.org/wiki/File:Lattice_diagram_of_Q_adjoin_the_positive_square_roots_of_2_and_3,_its_subfields,_and_Galois_groups.svg (Figure 4.4)
Further Reading:
https://nrich.maths.org/1422 (An overview of Galois Theory and the Galois Group)


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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett