Please use this identifier to cite or link to this item: https://doi.org/10.2140/agt.2010.10.1089
Title: p-Primary homotopy decompositions of looped stiefel manifolds and their exponents
Authors: Beben, P. 
Keywords: 55P15
55P35
55Q05
57T20
Issue Date: 2010
Citation: Beben, P. (2010). p-Primary homotopy decompositions of looped stiefel manifolds and their exponents. Algebraic and Geometric Topology 10 (2) : 1089-1106. ScholarBank@NUS Repository. https://doi.org/10.2140/agt.2010.10.1089
Abstract: Let p be an odd prime, and fix integers m and n such that 0 < m < n ≤ (p-1)(p-2). We give a p-local homotopy decomposition for the loop space of the complex Stiefel manifold Wn,m. Similar decompositions are given for the loop space of the real and symplectic Stiefel manifolds. As an application of these decompositions, we compute upper bounds for the p-exponent of Wn;m. Upper bounds for p-exponents in the stable range 2m < n and 0 < m ≤ (p-1)(p-2) are computed as well.
Source Title: Algebraic and Geometric Topology
URI: http://scholarbank.nus.edu.sg/handle/10635/126640
ISSN: 14722747
DOI: 10.2140/agt.2010.10.1089
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