A Necessary Condition Of (Z₂)～k-actions With Fixed Pint Set Data(?)

Let Mⁿ be a closed smooth n-manifold, and it admits a (Z₂)^k-action with fixed point set data . By Kosniowski-Stong formula we get anecessary condition.Special generators of the unoriented cobordism ring MO, are constructed to determine the group J³_n,2(p) of n-dimensional cobordism classes in MO_n containing a representative Mⁿ admitting a (Z₂)²-action with fixed point set of constant codimension 3, p = {(2,1,0), (2,0,1), (1,1,1)}.