A continuum of non-isomorphic 3-generator groups with probabilistic law $x^n=1$

V. S. Atabekyan, A. A. Bayramyan, V. H. Mikaelian

In this paper we construct a continuum family of non-isomorphic 3-generator groups in which the identity $x^n=1$ holds with probability 1, while failing to hold universally in ea…