We consider a special case of the problem of computing the Galois group of a system of linear ordinary differential equations Y = M Y , M ∈ C(x) n×n . We assume that C is a computable, characteristic-zero, algebraically closed constant field with a factorization algorithm. There exists a decision pr
The Nottingham Group for p = 2
✍ Scribed by Pál Hegedűs
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 149 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
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.
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