A Torsion-Free Milnor-Moore Theorem
| dc.creator | Scott, Jonathan A. | |
| dc.date | 2001-03-30 | |
| dc.date | 2001-08-05 | |
| dc.date.accessioned | 2026-07-07T04:40:52Z | |
| dc.date.available | 2026-07-07T04:40:52Z | |
| dc.description | Let ΩX be the space of Moore loops on a finite, q-connected, n-dimensional CW complex X, and let R be a subring of Q containing 1/2. Let p(R) be the least non-invertible prime in R. For a graded R-module M of finite type, let FM = M / Torsion M. We show that the inclusion of the sub-Lie algebra P of primitive elements of FH_*(ΩX;R) induces an isomorphism of Hopf algebras UP = FH_*(ΩX;R), provided p(R) > n/q - 1. Furthermore, the Hurewicz homomorphism induces an embedding of F(π_*(ΩX)\otimes R) in P, with torsion cokernel. As a corollary, if X is elliptic, then FH_*(ΩX;R) is a finitely-generated R-algebra. | |
| dc.description | 12 pages, error corrected, some new ramifications discussed | |
| dc.identifier | https://arxiv.org/abs/math/0103223 | |
| dc.identifier | http://arxiv.org/abs/math/0103223 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61178 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35 | |
| dc.title | A Torsion-Free Milnor-Moore Theorem | |
| dc.type | text |