Hatcher-Algebraic-Topology · Problem 4L.3

Homotopy Theory

Mathematics — Graph Theory · steenrod-operations-kzp1

Problem

For

K(\mathbb{Z}_{p^i}, 1)

with

i > 1

, the usual Bockstein

\beta

is identically zero so one has to use instead a Bockstein involving

\mathbb{Z}_{p^i}

coefficients. Work out the details of the stable splitting arguments for

\Sigma K(\mathbb{Z}_{p^i}, 1)

analogous to those given for

K(\mathbb{Z}_p, 1)