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1. Membership Problem in groups acting freely on -trees

Author

Nikolaev, Andrey and Serbin, Denis

Subjects
*GROUP theory, *TREE graphs, *GROUP actions (Mathematics), *GRAPH theory, *MATHEMATICAL analysis, *LINEAR algebra
Abstract

Abstract: Groups acting freely on -trees (-free groups) play a key role in the study of non-archimedean group actions. Following Stallingsʼ ideas, we develop graph-theoretic techniques to investigate subgroup structure of -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 -free groups. [Copyright &y& Elsevier]

Published
2012
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