A note on the Lie polynomial $ \mbf{(x+y)^{p}-x^{p}-y^{p}} $

Authors

  • Rongzheng Jiao

DOI:

https://doi.org/10.5556/j.tkjm.37.2006.143

Abstract

Using the techniques of group action on a set, we will give an elementary ane complete proof in this paper that the Lie polynomial $ (x+y)^{p}-x^{p}-y^{p} $ over prime field $ F_{p} $ is a sum of Lie brackets, with $ p $ a rational prime.

Author Biography

Rongzheng Jiao

Department of Mathematics, Yangzhou University, Yangzhou, Jiangsu, 225002, P. R. China.

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Published

2006-12-31

How to Cite

Jiao, R. (2006). A note on the Lie polynomial $ \mbf{(x+y)^{p}-x^{p}-y^{p}} $. Tamkang Journal of Mathematics, 37(4), 297-299. https://doi.org/10.5556/j.tkjm.37.2006.143

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Papers