3-primary 𝑣₁-periodic homotopy groups of 𝐹₄ and 𝐸₆

Bendersky, Martin; Davis, Donald M.

doi:10.1090/S0002-9947-1994-1231069-4

$3$-primary $v_ 1$-periodic homotopy groups of $F_ 4$ and $E_ 6$
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Trans. Amer. Math. Soc. 344 (1994), 291-306 Request permission

Abstract:

We compute the 3-primary ${v_1}$-periodic homotopy groups of the exceptional Lie groups ${F_4}$ and ${E_6}$. The unstable Novikov spectral sequence is used for the most delicate part of the analysis.

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Three contributions to the homotopy theory of the exceptional Lie groups

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