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

Michael A. Jackson
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Abstract

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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Michael A. Jackson. 2005-03-31. A Quotient of the Set [BG, BU(n)] for a Finite Group G of Small Rank. https://arxiv.org/abs/math/0503743

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