Please use this identifier to cite or link to this item:
|Title:||Modular representations and the homotopy of low rank p-local CW-complexes|
Loop space decompositions
|Source:||Beben, P., Wu, J. (2013-04). Modular representations and the homotopy of low rank p-local CW-complexes. Mathematische Zeitschrift 273 (3-4) : 735-751. ScholarBank@NUS Repository. https://doi.org/10.1007/s00209-012-1027-7|
|Abstract:||Fix an odd prime p and let X be the p-localization of a finite suspended CW-complex. Given certain conditions on the reduced mod-p homology H̃*(X; ℤp) of X, we use a decomposition of ΩΣX due to the second author and computations in modular representation theory to show there are arbitrarily large integers i such that ΩΣiX is a homotopy retract of ΩΣX. This implies the stable homotopy groups of ΣX are in a certain sense retracts of the unstable homotopy groups, and by a result of Stanley, one can confirm the Moore conjecture for ΣX. Under additional assumptions on H̃*(X; ℤp), we generalize a result of Cohen and Neisendorfer to produce a homotopy decomposition of ΩΣX that has infinitely many finite H-spaces as factors. © 2012 Springer-Verlag.|
|Source Title:||Mathematische Zeitschrift|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Feb 28, 2018
WEB OF SCIENCETM
checked on Feb 20, 2018
checked on Feb 27, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.