Commutativity in groups presented by finite Church-Rosser Thue systems
Commutativity in groups presented by finite Church-Rosser Thue systems
Let G be a group that can be presented by a flnite Church-Rosser Thue System.Then, whenever two éléments u and v of G commute, the subgroup < u, v > G o f G generaled by u and v is finite, or it is infinité cycîic.In particular, each finiteîy generaled …