Higher \(v_n\) torsion in Lie groups. (English) Zbl 0923.55004

Hunton, John; Mimura, Mamoru; Nishimoto, Tetsu; Schuster, Björn

J. Math. Soc. Japan 50, No. 4, 801-818 (1998).

We study the Morava \(K\)-theory of the exceptional Lie groups at the prime 2, and of certain projective Lie groups at a variety of primes.

Reviewer: J.R.Hunton (Leicester)

MSC:

55N22	Bordism and cobordism theories and formal group laws in algebraic topology
57T10	Homology and cohomology of Lie groups
55T25	Generalized cohomology and spectral sequences in algebraic topology

Keywords:

Morava K-theory; exceptional Lie groups; projective Lie groups; Atiyah-Hirzebruch spectral sequence; \(v_n\)-torsion