The oriented bordism of 𝑍_{2^{𝑘}} actions

Wheeler, E. R.

doi:10.1090/S0002-9947-1974-0356097-X

The oriented bordism of $Z_{2^{k}}$ actions
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Trans. Amer. Math. Soc. 199 (1974), 113-121 Request permission

Abstract:

Let ${R_2}$ be the subring of the rationals given by ${R_2} = Z[1/2]$. It is shown that for $G = {Z_{{2^k}}}$ the bordism group of orientation preserving $G$ actions on oriented manifolds tensored with ${R_2}$ is a free ${\Omega _ \ast } \otimes {R_2}$ module on even dimensional generators (where ${\Omega _ \ast }$ is the oriented bordism ring).

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The oriented bordism of cyclic, group actions