Natural Sciences, Mathematics, 2026
INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS
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Submitted: 2025-02-23
© 2026 by author(s) and The Gufo Inc.
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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.