2010; Physical and Mathematical Sciences, 44(2 (222): 58–62
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INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS

Received: 2025-02-23 · Published: 2010-04-26

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Original title
INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS
Author
A.S. Pahlevanyan
Published
2010-04-26
Licence
Creative Commons Attribution 4.0 International

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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