  Let $X$ be an algebraic variety over $k$ such that $\bar X=X\otimes_k\bar k$
is cellular. We study torsion elements in the Chow ring $CH^*(X)$ which
corresponds to $v_iy$ in the algebraic cobordism $\Omega^*(\bar X)$ where
$0\not=y\in CH^*(\bar X)/p$ and $v_i$ is the generator of $BP^*$ with
$|v_i|=-2(p^i-1).$ In particular, we try to compute $CH^*(X)$ from
$\Omega^*(\bar X)$ when $X$ are twisted complete flag varieties.
