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arXiv · 1107.0943

Membership Problem in groups acting freely on Z^n-trees

Andrey Nikolaev·Denis Serbin
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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.

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Andrey Nikolaev, Denis Serbin. 2011-07-05. Membership Problem in groups acting freely on Z^n-trees. https://doi.org/10.1016/j.jalgebra.2012.07.038

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