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Homology decompositions for p-compact groups |
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| Authors: | Natà lia Castellana,Ran Levi,Dietrich Notbohm |
| Affiliation: | a Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193, Bellaterra, Spain b Department of Mathematical Sciences, University of Aberdeen, Meston Building 339, Aberdeen AB24 3UE, UK c Department of Mathematics, University of Leicester, University Road, Leicester, LE1 7RH, UK |
| Abstract: | We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compact groups. This setup is then used to obtain a subgroup decomposition for p-compact groups which generalizes the subgroup decomposition with respect to p-stubborn subgroups for a compact Lie group constructed by Jackowski, McClure and Oliver. |
| Keywords: | primary, 55R35 secondary, 55R40, 20D20 |
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