#### Volume 17, issue 2 (2017)

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Odd primary homotopy types of $\mathrm{SU}(n)$–gauge groups

### Stephen Theriault

Algebraic & Geometric Topology 17 (2017) 1131–1150
##### Abstract

Let ${\mathsc{G}}_{k}\left(SU\left(n\right)\right)$ be the gauge group of the principal $SU\left(n\right)$–bundle with second Chern class $k$. If $p$ is an odd prime and $n\le {\left(p-1\right)}^{2}+1$, we classify the $p$–local homotopy types of ${\mathsc{G}}_{k}\left(SU\left(n\right)\right)$.

##### Keywords
gauge group, homotopy type
Primary: 55P15
Secondary: 54C35