THE ORE CONDITION, AFFILIATED OPERATORS, AND THE LAMPLIGHTER GROUP
THE ORE CONDITION, AFFILIATED OPERATORS, AND THE LAMPLIGHTER GROUP
Let G = Z/2Z ≀ Z be the so called lamplighter group and k a commutative ring.We show that kG does not have a classical ring of quotients (i.e.does not satisfy the Ore condition).This answers a Kourovka notebook problem.Assume that kG is contained in a ring R in which the …