The K-completion of E6

Donald M. Davis

55T15, 55Q52, 57T20

Department of Mathematics
Lehigh University
Bethlehem, PA 18015
dmd1@lehigh.edu

Abstract:
We compute the 2-primary v1-periodic homotopy groups
of the exceptional Lie group E6.  This is done by
computing the Bendersky-Thompson spectral sequence of E6.
We conjecture that the natural map from E6 to its 
K-completion induces an isomorphism in v1-periodic
homotopy, and discuss issues related to this conjecture.