Membership Problem in groups acting freely on Z^n-trees
arXiv:1107.0943 · doi:10.1016/J.JALGEBRA.2012.07.038
Abstract
Groups acting freely on Z^n-trees (Z^n-free groups) play a key role in the study of non-archimedean group actions. Following Stallings' ideas, we develop graph-theoretic techniques to investigate subgroup structure of Z^n-free groups. As an immediate application of the presented method, we give an effective solution to the Uniform Membership Problem and the Power Problem in Z^n-free groups.
41 pages