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.
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