On the Novikov-Adyan theorem. (English. Russian original) Zbl 0539.20020

Ol’shanskij, A. Yu.

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.

MSC:

20F50	Periodic groups; locally finite groups
20F05	Generators, relations, and presentations of groups

Keywords:

restricted Burnside problem; defining relations