Membership Problem in groups acting freely on Z^n-trees
Group Theory
2021-07-14 v2
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.
Cite
@article{arxiv.1107.0943,
title = {Membership Problem in groups acting freely on Z^n-trees},
author = {Andrey Nikolaev and Denis Serbin},
journal= {arXiv preprint arXiv:1107.0943},
year = {2021}
}
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41 pages