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arXiv · 1505.03433

Schreier graphs: transitivity and coverings

Paul-Henry Leemann
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Abstract

We give a characterization of isomorphisms between Schreier graphs in terms of the groups, subgroups and generating systems. This characterization may be thought as a graph analog of Mostow's rigidity theorem for hyperbolic manifolds. This allows us to give a transitivity criterion for Schreier graphs. Finally, we show that Tarski monsters satisfy a strong simplicity criterion.

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Paul-Henry Leemann. 2015-05-13. Schreier graphs: transitivity and coverings. https://doi.org/10.1142/s021819671650003x

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