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Indian Institute of Science Education and Research Bhopal


MTH 302: Rings and Modules (4)

Pre-requisites: MTH 301

Learning Objectives:

This is an introductory course on Group theory. We will begin by studying the basic concepts of subgroups, homomorphisms and quotient groups with many examples. We then study group actions, and prove the Class equation and the Sylow theorems. They are in turn used to prove the structure theorem for finite abelian groups and to discuss the classification of groups of small order. We then turn to solvability, prove the Jordan-Holder theorem, and discuss nilpotent groups (if time permits).

Course Contents:

Suggested Books:

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