3-primary v1-periodic homotopy groups of E7

Details 3-primary v1-periodic homotopy groups of E7 3-primary v1-periodic homotopy groups of E7

1998-05-04

arxiv.org/abs/math/9805013v1

Mathematics

Algebraic Topology

51 pages. Submitted to New York Electronic Journal of Mathematics

Scientific paper

We compute the 3-primary v1-periodic homotopy groups of the exceptional Lie group E7. Now E8 at the primes 3 and 5 is the only compact simple Lie group whose odd-primary v1-periodic homotopy groups remian to be computed. The main work is computing the unstable Novikov spectral sequence of \Omega E7/Sp(2). Showing that this converges to v1-periodic homotopy groups requires recent work of Bousfield and Bendersky-Thompson.

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