INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS

Author(s)

INDEPENDENT PAIRS IN FREE BURNSIDE GROUPS A.S. Pahlevanyan

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.

DOI: 10.46991/PYSUA.2010.44.2.058 Physical and Mathematical Sciences, 44(2 (222) 58-62

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Keywords

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

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