### Abstract

Exponent information is proven about the Lie groups SU(3), SU(4), Sp(2), and G(2) by showing some power of the H-space squaring map (on a suitably looped connected-cover) is null homotopic. The upper bounds obtained are 8, 32, 64, and 2(8) respectively. This null homotopy is best possible for SU(3) given the number of loops, off by at most one power of 2 for SU(4) and Sp(2), and off by at most two powers of 2 for G(2).

Original language | English |
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Pages (from-to) | 119-132 |

Number of pages | 13 |

Journal | Canadian Mathematical Bulletin |

Volume | 47 |

Issue number | 1 |

Publication status | Published - 2004 |

### Keywords

- HOMOTOPY-THEORY

## Cite this

Theriault, S. D. (2004). 2-primary exponent bounds for Lie groups of low rank.

*Canadian Mathematical Bulletin*,*47*(1), 119-132.