On the homotopy groups of E(n)-local spectra with unusual invariant ideals
| dc.creator | Nakai, Hirofumi | |
| dc.creator | Shimomura, Katsumi | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:57:09Z | |
| dc.date.available | 2026-07-07T12:57:09Z | |
| dc.description | Let E(n) and T(m) for nonnegative integers n and m denote the Johnson-Wilson and the Ravenel spectra, respectively. Given a spectrum whose E(n)_*-homology is E(n)_*(T(m))/(v_1,...,v_{n-1}), then each homotopy group of it estimates the order of each homotopy group of L_nT(m). We here study the E(n)-based Adams E_2-term of it and present that the determination of the E_2-term is unexpectedly complex for odd prime case. At the prime two, we determine the E_{infty}-term for pi_*(L_2T(1)/(v_1)), whose computation is easier than that of pi_*(L_2T(1)) as we expect. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 18 April 2007 | |
| dc.identifier | https://arxiv.org/abs/0903.4662 | |
| dc.identifier | http://arxiv.org/abs/0903.4662 | |
| dc.identifier | Geom. Topol. Monogr. 10 (2007) 319-332 | |
| dc.identifier | doi:10.2140/gtm.2007.10.319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224832 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55Q99 | |
| dc.title | On the homotopy groups of E(n)-local spectra with unusual invariant ideals | |
| dc.type | text |