We study the Morava -theory of the exceptional Lie groups at the prime 2, and of certain projective Lie groups at a variety of primes.
John HUNTON. Mamoru MIMURA. Tetsu NISHIMOTO. Björn SCHUSTER. "Higher torsion in Lie groups." J. Math. Soc. Japan 50 (4) 801 - 818, October, 1998. https://doi.org/10.2969/jmsj/05040801