INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS

Authors

  • A. S. Pahlevanyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2010.44.2.058

Keywords:

free Burnside group, independent element, non-amenable group, monomorphism

Abstract

In this work we prove that for an arbitrary odd $n\geq 1003$ 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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Published

2010-04-26

How to Cite

Pahlevanyan, A. S. (2010). INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 44(2 (222), 58–62. https://doi.org/10.46991/PYSU:A/2010.44.2.058

Issue

Section

Short Communications