| Line 8: | Line 8: | ||
https://mathworld.wolfram.com/GaloisGroup.html (Galois group Definition) <br /> | https://mathworld.wolfram.com/GaloisGroup.html (Galois group Definition) <br /> | ||
Images: <br /> | Images: <br /> | ||
| + | https://commons.wikimedia.org/wiki/File:Evariste_galois.jpg (Figure 1.1) <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 /> | ||
https://www.johndcook.com/blog/2013/12/02/visualizing-galois-groups-of-quadratics/ (Figure 4.1) <br /> | https://www.johndcook.com/blog/2013/12/02/visualizing-galois-groups-of-quadratics/ (Figure 4.1) <br /> | ||
https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem (Figure 4.2 and 4.3) <br /> | https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem (Figure 4.2 and 4.3) <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 /> | 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://mathworld.wolfram.com/AngleTrisection.html (Figure 5.1) <br /> | ||
| + | |||
Further Reading: <br /> | Further Reading: <br /> | ||
https://nrich.maths.org/1422 (An overview of Galois theory and the Galois group) <br /> | https://nrich.maths.org/1422 (An overview of Galois theory and the Galois group) <br /> | ||
Revision as of 21:48, 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:Evariste_galois.jpg (Figure 1.1)
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)
https://mathworld.wolfram.com/AngleTrisection.html (Figure 5.1)
Further Reading:
https://nrich.maths.org/1422 (An overview of Galois theory and the Galois group)
