Note on Samelson products in exceptional Lie groups

Abstract

We determine (non-)triviality of Samelson products of inclusions of factors of the mod $p$ decomposition of $G_{(p)}$ for $(G,p)=(E_7,5),(E_7,7),(E_8,7)$. This completes the determination of (non-)triviality of those Samelson products in $p$-localized exceptional Lie groups when $G$ has $p$-torsion free homology.

13 pages

References in corpus (1)

• Samelson products in p-regular SO(2n) and its homotopy normality