| Line 4: | Line 4: | ||
References: <br /> | References: <br /> | ||
Information: <br /> | Information: <br /> | ||
| − | https://www.jstor.org/stable/2974763?seq=1 (Proof of | + | 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 | + | 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 /> | ||
| Line 13: | Line 13: | ||
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) <br /> | 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) <br /> | ||
Further Reading: <br /> | Further Reading: <br /> | ||
| − | https://nrich.maths.org/1422 (An overview of Galois | + | https://nrich.maths.org/1422 (An overview of Galois theory and the Galois group) <br /> |
[[ Walther MA271 Fall2020 topic1|Back to Walther MA271 Fall2020 topic1]] | [[ Walther MA271 Fall2020 topic1|Back to Walther MA271 Fall2020 topic1]] | ||
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)
