Abstract
Groups acting freely on Zn-trees (Zn-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 Zn-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 Zn-free groups.
Original language | English |
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Pages (from-to) | 410-444 |
Number of pages | 35 |
Journal | Journal of Algebra |
Volume | 370 |
DOIs | |
State | Published - 15 Nov 2012 |
Keywords
- Group actions
- Membership Problem
- Zn-trees