3-primary v1-periodic homotopy groups of E7
Algebraic Topology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9805013,
title = {3-primary v1-periodic homotopy groups of E7},
author = {Donald M. Davis},
journal= {arXiv preprint arXiv:math/9805013},
year = {2007}
}
Comments
51 pages. Submitted to New York Electronic Journal of Mathematics