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arXiv:math/0503743 [math.AT]AbstractReferencesReviewsResources

A Quotient of the Set [BG, BU(n)] for a Finite Group G of Small Rank

Michael A. Jackson

Published 2005-03-31Version 1

We construct a natural map from the set [BG,BU(n)] into a set of characters of the Sylow p-subgroups of G and prove that this natural map is a surjection for all finite groups G of rank two. We show, furthermore, that this same natural map is in fact a bijection for two types of finite groups G: those with periodic cohomology and those of rank two with odd order.

Comments: 14 pages
Journal: J. Pure and Applied Alg. 188 (2004) 161-174
Categories: math.AT, math.GR
Subjects: 55R37, 55S35, 20J06, 20D15
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