Masters' thesis in group theory I would like some ideas on topics in group theory which would be suitable for a masters' thesis. What sort of problems would be suitable for this level? Because it is at masters' level, no original work is necessarily needed but it can instead be an original comprehensive survey of some area. Thank you

I have no idea what constitutes the appropriate level, but here some interesting topics:


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*The Monster group (its construction, history, representations and moonshine, ...)

*Higman's PORC conjectures (results on the number of groups of order $p^n$ for $n\le7$, the counting techniques involved, reasons for current suspicion of likely falsehood, ...)

*Coclass theory (started by Leedham-Green and Newman to classify finite $p$-groups)

