<i>GB</i>-Problem in the Class of Locally Graded Groups
<i>GB</i>-Problem in the Class of Locally Graded Groups
A problem, we consider, is equivalent to the one posed in 1981 by Bergman: Let G be a group and S a subsemigroup of G which generates G as a group. Must each identity satisfied in S be satisfied in G? The first counterexample was found in 2005 by Ivanov …