preprint

We prove an accessibility theorem for finite-index splittings of
groups. Given a finitely presented group *G* there is a
number *n(G)* such that, for every reduced locally
finite *G*-tree *T* with finitely generated
stabilizers, *T/G* has at most *n(G)* vertices and edges. We
also show that deformation spaces of locally finite trees (with
finitely generated stabilizers) are maximal in the partial ordering of
domination of *G*-trees.

- pdf file (10 pages)