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Nottingham group

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2010 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

  • 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. URL: http://encyclopediaofmath.org/index.php?title=Nottingham_group&oldid=51445