2-primary exponent bounds for Lie groups of low rank

Stephen D Theriault

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)119-132
Number of pages13
JournalCanadian Mathematical Bulletin
Volume47
Issue number1
Publication statusPublished - 2004

Keywords

  • HOMOTOPY-THEORY

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