1994•International Journal of Algebra and ComputationRequires access

THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS

SERGEI V. IVANOV

Abstract

The paper contains a self-contained construction of m-generated free Burnside groups B(m, n) of exponent n, where m>1, n≥248 and n is either odd or divisible by 29. As a corollary, one gets that the Burnside problem on the finiteness of finitely generated groups of exponent n is solved in the negative for almost all exponents.

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Key concepts: Mathematics, Corollary, Exponent, Finitely-generated abelian group, Combinatorics, Group (periodic table), Pure mathematics, Organic chemistry