Nottingham group
From Encyclopedia of Mathematics - Reading time: 1 min
2020 Mathematics Subject Classification: Primary: 20E18 [MSN][ZBL]
The subgroup of automorphisms of the field of formal power series $\mathbf{F_p}[[t]]$ consisting of those automorphisms of the form $f(t) \mapsto f(g(t))$ where $g(t) \in t + O(t^2)$.
It is a finitely generated, just infinite pro-$p$ group of finite width. However, every separable pro-$p$ group can be embedded in it as a closed subgroup.
References[edit]
- Rachel D. Camina, "Subgroups of the Nottingham group" J. Algebra 196 (1997) 101-113 Zbl 0883.20015
How to Cite This Entry: Nottingham group (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Nottingham_group19 views | ↧ Download this article as ZWI file
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