On Cayley graphs of virtually free groups

Details On Cayley graphs of virtually free groups On Cayley graphs of virtually free groups

2009-11-11

arxiv.org/abs/0911.2177v2

Mathematics

Group Theory

Scientific paper

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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