Sl.No Chapter Name MP4 Download
1Motivation and overview of the courseDownload
2Review of group theoryDownload
3Review of ring theory IDownload
4Review of ring theory IIDownload
5Review of field theory IDownload
6Review of field theory IIDownload
7Review of field theory IIIDownload
8Problem Session 1Download
9Problem Session 2Download
10Beginning of Galois theoryDownload
11Fixed fieldsDownload
12Theorem I on fixed fieldsDownload
13Theorem II on fixed fieldsDownload
14Galois extensions, Galois groupsDownload
15Normal extensionsDownload
16Problem Session - Part 3Download
17Problem Session - Part 4Download
18Separable extension - Part 1Download
19Separable extension - Part 2Download
20Characterization of Galois extensions - Part 1Download
21Characterization of Galois extensions - Part 2Download
22Examples of Galois extensionsDownload
23Motivating the main theorem of Galois theoryDownload
24Main theorem of Galois theory - Part 1Download
25Main theorem of Galois theory - Part 2Download
26Fundamental theorem of algebraDownload
27Problem Session - Part 5Download
28Problem Session - Part 6Download
29Problem Session - Part 7Download
30Problem Session - Part 8Download
31Problem Session - Part 9Download
32Kummer extensions - Part 1Download
33Kummer extensions - Part 2Download
34Kummer extensions - Part 3Download
35Cyclotomic extensions - Part 1Download
36Cyclotomic extensions - Part 2Download
37Solvability by radicalsDownload
38Characterizations of solvability - Part 1Download
39Characterizations of solvability - Part 2Download
40Discriminants, Galois groups of polynomialsDownload
41Quartics are solvableDownload
42Solvable groups - Part 1Download
43Solvable groups - Part 2Download
44Solvable groups - Part 3Download
45Insolvability of quinticsDownload
46Problem Session - Part 10Download
47Problem Session - Part 11Download
48Problem Session - Part 12Download
49Problem Session - Part 13Download

Sl.No Chapter Name English
1Motivation and overview of the courseDownload
To be verified
2Review of group theoryDownload
To be verified
3Review of ring theory IDownload
To be verified
4Review of ring theory IIDownload
To be verified
5Review of field theory IDownload
To be verified
6Review of field theory IIDownload
To be verified
7Review of field theory IIIDownload
To be verified
8Problem Session 1Download
To be verified
9Problem Session 2Download
To be verified
10Beginning of Galois theoryDownload
To be verified
11Fixed fieldsDownload
To be verified
12Theorem I on fixed fieldsDownload
To be verified
13Theorem II on fixed fieldsDownload
To be verified
14Galois extensions, Galois groupsDownload
To be verified
15Normal extensionsDownload
To be verified
16Problem Session - Part 3Download
To be verified
17Problem Session - Part 4Download
To be verified
18Separable extension - Part 1Download
To be verified
19Separable extension - Part 2Download
To be verified
20Characterization of Galois extensions - Part 1Download
To be verified
21Characterization of Galois extensions - Part 2Download
To be verified
22Examples of Galois extensionsDownload
To be verified
23Motivating the main theorem of Galois theoryDownload
To be verified
24Main theorem of Galois theory - Part 1Download
To be verified
25Main theorem of Galois theory - Part 2Download
To be verified
26Fundamental theorem of algebraDownload
To be verified
27Problem Session - Part 5Download
To be verified
28Problem Session - Part 6Download
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29Problem Session - Part 7Download
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30Problem Session - Part 8Download
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31Problem Session - Part 9Download
To be verified
32Kummer extensions - Part 1Download
To be verified
33Kummer extensions - Part 2Download
To be verified
34Kummer extensions - Part 3Download
To be verified
35Cyclotomic extensions - Part 1Download
To be verified
36Cyclotomic extensions - Part 2Download
To be verified
37Solvability by radicalsDownload
To be verified
38Characterizations of solvability - Part 1Download
To be verified
39Characterizations of solvability - Part 2PDF unavailable
40Discriminants, Galois groups of polynomialsPDF unavailable
41Quartics are solvablePDF unavailable
42Solvable groups - Part 1PDF unavailable
43Solvable groups - Part 2PDF unavailable
44Solvable groups - Part 3PDF unavailable
45Insolvability of quinticsPDF unavailable
46Problem Session - Part 10PDF unavailable
47Problem Session - Part 11PDF unavailable
48Problem Session - Part 12PDF unavailable
49Problem Session - Part 13PDF unavailable


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