We determine the (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 the (non-)triviality of those Samelson products in p-localized exceptional Lie groups when G has p-torsion-free homology.

中文翻译：

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关于异常李群中的 SAMELSON 产品的注释

我们确定包含 mod 因素的 Samelson 产品的（非）平凡性p分解$G_{(p)}$为了$(G,p)=(E_7,5),(E_7,7),(E_8,7)$. 这完成了对那些 Samelson 产品在p- 本地化异常李群时G已p-无扭同调。