## Bulletin of the Belgian Mathematical Society - Simon Stevin

### The order of the commutator on $SU(3)$ and an application to gauge groups

#### Abstract

We show that the commutator map on $SU(3)$ has order $2^{3}\cdot 3\cdot 5$. As an application, we give an upper bound on the number of homotopy types of gauge groups for principal $SU(3)$-bundles over an $n$-sphere.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 20, Number 2 (2013), 359-370.

Dates
First available in Project Euclid: 23 May 2013

https://projecteuclid.org/euclid.bbms/1369316550

Digital Object Identifier
doi:10.36045/bbms/1369316550

Mathematical Reviews number (MathSciNet)
MR3082770

Zentralblatt MATH identifier
1270.55006

#### Citation

Kono, A.; Theriault, S. The order of the commutator on $SU(3)$ and an application to gauge groups. Bull. Belg. Math. Soc. Simon Stevin 20 (2013), no. 2, 359--370. doi:10.36045/bbms/1369316550. https://projecteuclid.org/euclid.bbms/1369316550