How close are pth powers in the Nottingham group?

Details How close are pth powers in the Nottingham group? How close are pth powers in the Nottingham group?

2002-07-29

arxiv.org/abs/math/0207273v2

Mathematics

Group Theory

15 pages, LaTeX. Submitted to Journal of Algebra

Scientific paper

Let F be a field of characteristic p > 0 and let g, h be elements of the
Nottingham group N(F) such that g has depth k and gh^{-1} has depth n >= k. We
find the best possible lower bound for the depth of g^ph^{-p}.

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