Homotopy type and v1-periodic homotopy groups of p-compact groups

Donald M. Davis

dmd1@lehigh.edu

Lehigh University, Bethlehem, PA 18015

Abstract:

We determine the v1-periodic homotopy groups of all irreducible
p-compact groups.  In the most difficult, modular, cases, we follow a
direct path from their associated invariant polynomials to these
homotopy groups.  We show that, with several exceptions, every
irreducible p-compact group is a product of explicit
spherically-resolved spaces which occur also as factors of p-completed
Lie groups.