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

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

2005-03-31

arxiv.org/abs/math/0503743v1

J. Pure and Applied Alg. 188 (2004) 161-174

Mathematics

Algebraic Topology

14 pages

Scientific paper

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.

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