Topic and Reference :

1. Wedderburn Theorem: Serre* or Steinberg*

2. Character table of Frobenius groups (F_p,q for a prime p and q|p-1) : James and Liebeck* 

3. i) Real representations and (another) Burnside Theorem : Steinberg* or  James and Liebeck*

ii) The Frobenius-Schur count of involutions : James and Liebeck*

4. i) Fourier Analysis on Finite Abelian Groups : Steinberg*

ii) An Application to Graph Theory : Steinberg*

5. Groups of order p^3 and character table :  James and Liebeck*

6. Representation Theory of the Symmetric Group (Chapter 10) : Steinberg*

Rules : 

• You have to give a 15 minutes blackboard presentation. It should not be less than 15 minutes.

• If the topic consists too much information to present in 15 minutes, prepare a summary/story to present the main theorem/result of the topic.

• There will be a section in ETE consisting of exactly one question (of 5 marks) from each of these topics. You may opt for the question of the topic that you have presented. 

• Presentation : 10 marks

• ETE question : 5 marks

Date and Time :  28th April, 2025 : 11 am 

                          30th April, 2025 :  11 am