Ol’shanskij, A. Yu. On the Novikov-Adyan theorem. (English. Russian original) Zbl 0539.20020 Math. USSR, Sb. 46, 203-236 (1983); translation from Mat. Sb., Nov. Ser. 118(160), 203-235 (1982). Summary: A new solution of the restricted Burnside problem for sufficiently large odd exponents is presented. The proof is considerably shorter than the original one given by P. S. Novikov and S. I. Adyan in 1968 (although the bound for the exponent is worse: \(n>10^{10})\). It is based on a geometrical interpretation of deducibility of relations in a group from its defining relations. Cited in 5 ReviewsCited in 5 Documents MSC: 20F50 Periodic groups; locally finite groups 20F05 Generators, relations, and presentations of groups Keywords:restricted Burnside problem; defining relations PDF BibTeX XML Cite \textit{A. Yu. Ol'shanskij}, Math. USSR, Sb. 46, 203--236 (1983; Zbl 0539.20020); translation from Mat. Sb., Nov. Ser. 118(160), 203--235 (1982) Full Text: DOI OpenURL