The Restricted Burnside ProblemIn 1902 William Burnside wrote A still undecided point in the theory of discontinuous groups is whether the order of a group may not be finite while the order of every operation it contains is finite. Since then, the Burnside problem has inspired a considerable amount of research. This popular text provides a comprehensive account of the many recent results obtained in studies of the restricted Burnside problem by making extensive use of Lie ring