The Nottingham Group for p = 2

In this paper I consider the Nottingham group over a finite field of characteristic 2. I obtain a number of results previously known only for Nottingham groups in odd characteristic. For example, I obtain information on the derived series and I prove that the Nottingham group is hereditarily just-infinite as a pro-2 group. As a consequence, the Nottingham group over any finite field of characteristic 2 is not analytic over any pro-2 ring.