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On Odd-Primary Components of Lie Groups

On Odd-Primary Components of Lie Groups

The transfer map $t:{\pi ^s}({P_\infty }{\mathbf {C}}) \to {\pi ^s}({S^0})$ is represented by an element $\tau \in \pi _s^{ - 1}({P_\infty }{{\mathbf {C}}^ + })$. We compute the Adams-e-invariant of $\tau$ and use this and the splitting of the p-localization of ${S^1} \wedge {P_\infty }{\mathbf {C}}$ into a wedge of …