How close are pth powers in the Nottingham group?

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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}.
15 pages, LaTeX. Submitted to Journal of Algebra

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Group Theory, 20E18

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http://salesiana.dossiersoluciones.com/handle/123456789/64608

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207273
 http://arxiv.org/abs/math/0207273

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arXiv