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INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In this work we prove that for an arbitrary odd n≥1003 there exist two words u(x,y),v(x,y), almost every images of which in free Burnside group B(m,n)  are independent.

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