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Membership Problem in groups acting freely on Z^n-trees
- Publication Year :
- 2011
-
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.<br />Comment: 41 pages
- Subjects :
- Mathematics - Group Theory
20F10, 20F65, 20E08
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1107.0943
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/J.JALGEBRA.2012.07.038