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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140674We 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.42 pagesAlgebraic Topology55Q52Homotopy type and v1-periodic homotopy groups of p-compact groupstext