The word problem for the Burnside varieties
Let \(B_n\) denote the group variety defined by the identity \(x^n=1\). In this work the following main result is obtained. Theorem. If \(n=pr\), where \(p\geq 3\) is prime and \(r\) has an odd divisor \(\geq 665\) or \(r\geq 2^{48}\), then there exists a group finitely presented in the variety \(B_n\) with insoluble word problem.
scientific article; zbMATH DE number 763963