The K-completion of E 6

Abstract

We compute the 2-primary V 1 -periodic homotopy groups of the K-completion of the exceptional Lie group E 6 . This is done by computing the Bendersky-Thompson spectral sequence of E 6 . We conjecture that the natural map from E 6 to its K-completion induces an isomorphism in V 1 -periodic homotopy, and discuss issues related to this conjecture.KeywordsExact SequenceSpectral SequenceShort Exact SequenceHomotopy GroupPolynomial AlgebraThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.