𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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.


📜 SIMILAR VOLUMES


Calculating the Galois Group of Y′ 
✍ Peter Berman 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 291 KB

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

(Vapour  +  liquid) equilibria
✍ B. Orge; G. Marino; M. Iglesias; L.M. Casás; J. Tojo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 252 KB

Consistent (vapour + liquid) equilibrium data for the ternary system (benzene + cyclohexane + anisole) at p = 101.32 kPa are reported. The results indicate that the mixture deviates positively from ideality and that only the minimum binary azeotrope (benzene + cyclohexane) exists. The activity coeff

Rado Numbers for the Equation ∑i =&
✍ Wojciech Kosek; Daniel Schaal 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 90 KB

For every integer m ≥ 3 and every integer c, let r m c be the least integer, if it exists, such that for every 2-coloring of the set 1 2 r m c there exists a monochromatic solution to the equation The values of r m c were previously known for all values of m and all nonnegative values of c. In this