1994/03/01 by SERGEI V. IVANOV · 3 citations
Mathematics · Engineering · #Finite Group Theory Research #graph theory and CDMA systems #Rings, Modules, and Algebras #Mathematics #Corollary #Exponent #Finitely-generated abelian group #Combinatorics #Group (periodic table) #Pure mathematics
paper · doi:10.1142/s0218196794000026
openalex publication_date 1994/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/24
The paper contains a self-contained construction of m-generated free Burnside groups B(m, n) of exponent n, where m>1, n≥2 48 and n is either odd or divisible by 2 9 . 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.