Reconstructions of tori in Zassenhaus algebras (Q1589025)

The author shows that any torus in the \(p\)-closure \(\widetilde L\) of the Zassenhaus algebra \(L\) over an algebraically closed field of characteristic \(p > 0\) can be otained by a finite number of reconstructions from the standard forms \(\langle x {d\over {dx}}\rangle\). By a reconstruction of a torus \(T\) is meant the unique maximal torus contained in the \(p\)-closure of \(\exp Z(T)\) where \(\exp Z\) is a truncated exponential mapping.