The \(p\)-operation of the Zassenhaus algebra (Q1293629)

A Zassenhaus algebra is a Lie algebra of dimension \(p^n\) over a field of characteristic \(p\) consisting of the special derivations of the divided power algebra \({\mathfrak A}(1:n)\). Each such derivation satisfies a \(p\)-equation \(\sum^n_{i=0}a_ix^{p^i}=0\). The author determines the coefficients in this equation for the general element of the Zassenhaus algebra.