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arXiv · 0911.2177

On Cayley graphs of virtually free groups

Yago Antolin
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Abstract

In 1985, Dunwoody showed that finitely presentable groups are accessible. Dunwoody's result was used to show that context-free groups, groups quasi-isometric to trees or finitely presentable groups of asymptotic dimension 1 are virtually free. Using another theorem of Dunwoody of 1979, we study when a group is virtually free in terms of its Cayley graph and we obtain new proofs of the mentioned results and other previously depending on them.

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Yago Antolin. 2011-07-18. On Cayley graphs of virtually free groups. https://doi.org/10.1515/gcc.2011.012

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