Foldings, graphs of groups and the membership problem

Details Foldings, graphs of groups and the membership problem Foldings, graphs of groups and the membership problem

2003-02-18

arxiv.org/abs/math/0302206v2

Mathematics

Group Theory

Final updated version, to appear in the International Journal of Algebra and Computation

Scientific paper

We introduce a combinatorial version of Stallings-Bestvina-Feighn-Dunwoody
folding sequences. We then show how they are useful in analyzing the
solvability of the uniform subgroup membership problem for fundamental groups
of graphs of groups. Applications include coherent right-angled Artin groups
and coherent solvable groups.

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