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Bulletin of the London Mathematical Society Advance Access originally published online on March 22, 2009
Bulletin of the London Mathematical Society 2009 41(3):385-395; doi:10.1112/blms/bdn102
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© 2009 London Mathematical Society

The fundamental group of a p-compact group

W. G. Dwyer

Department of Mathematics
University of Notre Dame
Notre Dame
IN 46556
USA

C. W. Wilkerson

Department of Mathematics
Purdue University
West Lafayette
IN 47907
USA
wilker@math.purdue.edu

Received 11 January 2007. Revision received 13 August 2008.

We compute the fundamental group of a connected p-compact group in terms of the map from the homology of the classifying space of a maximal torus to the homology of the classifying space of its normalizer.

2000 Mathematics Subject Classification 55R35, 55F40.


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