On p-compact groups/homotopy Lie groups:
Kasper Andersen, Jesper Grodal, The classification of 2-compact groups, J. Amer. Math. Soc. 22 (2009), 387-436 (arXiv:math/0611437)
Jesper Grodal, The Classification of –Compact Groups and Homotopical Group Theory, Proceedings of the International Congress of Mathematicians, Hyderabad 2010 (arXiv:1003.4010, pdf, pdf)
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