  In this paper we compute homotopical equivariant bordism for the group ${\bf
Z/2}$, namely $MO^{\bf Z/2}$, geometric equivariant bordism $\Omega^{\bf
Z/2}_*$, and their quotient as modules over geometric bordism. This quotient is
a module of stable transversality obstructions. In doing these computations, we
use the techniques the author developed in the complex setting. Because we are
working in the real setting only with Z/2, these techniques simplify greatly.
