I need help finding a topic inabstract algebra that needs work done to it. I am

Question

I need help finding a topic inabstract algebra that needs work done to it. I am to write a research paper on this and I am struggling to comeupwith an idea and how to approach it. The criteria for the paper is the following:

By the end of the term, a paper describing some aspect of mathematics must be submitted. The paper may come from any area but it must contain something original. Your idea can come from any area: a new application, a new result, a new proof of an old concept, a new proof of a new concept, etc.

Please help!

Explanation / Answer

Try the topic on

Decomposing homogeneous modules of finite groups in characteristic zero.

This is an improved method to compute the endomorphism ring of a representation and an algorithm to find singular elements in the endomorphism ring is given.

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