Abstract.Let G be a torsionfree compact p-adic analytic group. We give
sufficient conditions on p and G which ensure that the Iwasawa algebra *
*G of
G has no non-trivial two-sided reflexive ideals. Consequently, these con*
*ditions
imply that every nonzero normal element in G is a unit. We show that th*
*ese
conditions hold in the case when G is an open subgroup of SL2(Zp) and p *
*is