The Nottingham group for p=2

[摘要] 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. (C) 2001 Elsevier Science.

[发布日期] 2001-12-01