How close are pth powers in the Nottingham group?
Group Theory
2007-05-23 v2
Abstract
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}.
Cite
@article{arxiv.math/0207273,
title = {How close are pth powers in the Nottingham group?},
author = {Kevin Keating},
journal= {arXiv preprint arXiv:math/0207273},
year = {2007}
}
Comments
15 pages, LaTeX. Submitted to Journal of Algebra