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The FAQ states that "MathOverflow is not the appropriate place to ask somebody to write an expository article for you," which is how this comes across to me. It's a question that's completely generic (one could substitute any field for group theory) and incredibly broad. In principle, some kind expert might come along and supply a wonderful answer, but the closing criterion shouldn't be whether it's impossible to give a good answer. I don't see a principled reason to keep this question open, short of saying that all questions of the form "please supply information about topic X" are appropriate.
I agree with Henry Cohn and with HW's comment on the original post.
In contrast, I would be more sympathetic to a question like "I am interested in learning about current research into p-groups, what are the main areas of current work in that area?" I get the impression that the OP wants to find out what is important so he can learn about it, which I think is not always the best way to approach a new area; you need to get one basic knowledge and decide whether you are interested in right-angled Artin groups, or solvable p-groups, or algebraic profinite groups, etc, and then try to learn more about what interests you. But just saying "group theory" is asking for too much with too little effort of one's own.
In regards to previous comment, "conformal field thory" is at least more specific than "group theory"
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