Lemma 29.1:

Suppose that $ 0\leq j < i \leq n$ then

$\displaystyle \Phi_j^{n}\circ \Phi_{i-1}^{n-1} = \Phi^n_{i} \circ \Phi_j^{n-1} \eqno(29.2)
$



nisha 2012-03-20