This work applys Bousfield's theorem for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3).
A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applies this theorem to give explicit determinations of the v1-periodic homotopy groups o
Representation theory and $psi $ in $K$-theory; Nice form for $psi $ in $PK (EUL8)UL{(5)}$ and $PK (X)$; Determination of $vUL1 - 1}piUL{2m}(EUL8;5)$; Determination of $vUL1 - 1}piUL{2m-1}(EUL8;5)$; Calculation of $vUL1 -1}piULast(EUL8;3)$; LiE program for computing $lambda $ in $R(EUL8)$; Analysis of $FUL4$ and $EUL7$ at the prime $3$.
A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applies this theorem to give explicit determinations of the v1-periodic homotopy groups o
Representation theory and $psi $ in $K$-theory; Nice form for $psi $ in $PK (EUL8)UL{(5)}$ and $PK (X)$; Determination of $vUL1 - 1}piUL{2m}(EUL8;5)$; Determination of $vUL1 - 1}piUL{2m-1}(EUL8;5)$; Calculation of $vUL1 -1}piULast(EUL8;3)$; LiE program for computing $lambda $ in $R(EUL8)$; Analysis of $FUL4$ and $EUL7$ at the prime $3$.