Mathematics – Algebraic Topology
Scientific paper
2007-09-21
Mathematics
Algebraic Topology
42 pages
Scientific paper
We determine the v1-periodic homotopy groups of all irreducible p-compact
groups (BX,X). In the most difficult, modular, cases, we follow a direct path
from their associated invariant polynomials to these homotopy groups. We show
that, if p is odd, every irreducible p-compact group has X of the homotopy type
of a product of explicit spaces related to p-completed Lie groups.
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