First cohomology groups of some linear groups over fields of characteristic two

Abstract

G Sp2 (K) with n >_ 2 and K either of odd characteristic or perfect of char- acteristic two, and for G 02 (K) with n >_ 2 and K perfect of characteristic two. In addition, viewing S as a linear group on the (n 1)-(or (n 2)-) dimensional F.-space V for n odd (or even), we compute H (S., V) for n >_ 5.