Fall 2018 : MA 6480 Homepage
(Galois Theory)

This is basic information about the course. The main course homepage is on moodle.

Instructor Information :

Sarang Sane, NAC 644
Phone: 91-44-2257-4604
Email: sarang [at] iitm [dot] in

Pre-requisites :

MA 5320 (Algebra - 1) and MA 5430 (Algebra-2) or equivalent.

Time and Place :

Slot D : NAC 505
Slot times (as per timetable) are M 8 a.m.-8:50 a.m. , T 12:00 p.m.-12:50 p.m., Tr 11:00 a.m.-11:50 a.m., F 10:00 a.m.-10:50 a.m.
However, depending on the convenience of the instructor and participants, we may change the timings to a different schedule.
We may meet more than the stipulated time in the first 3 months (Jan., Feb., March) to make up for the instructor's subsequent leave.

Course Contents and Text Books :

Algebraic Extensions of Fields, Splitting Fields and Algebraic Closures, Separable and Inseparable Extensions, Cyclotomic Polynomails and Extensions, Basics of Galois theory, Fundamental Theorem and Galois Theory, Finite Fields, Composite Extensions and simple Extensions, Cyclotomic Extensions and Abelian Extensions over q, Galois Group of Polynomials, Solvable and Radical extensions, Insolvability of the quintic equations.

I may not use one particular textbook but the books mentioned on the department website (listed below) should deal with most concepts covered in class.
1. D.S. Dummit and R.M Foote: Abstract Algebra,2nd Edition, John-Wiley, 1999.
2. S. Lang: Algebra. Revised third edition. Graudate Texts in Mathematics, 211. Springer- Verlag, New York, 2002.

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