On the fundamental domains of the fibers of groups acting on trees with inversions

@article{Mahmood2013OnTF,
title={On the fundamental domains of the fibers of groups acting on trees with inversions},
author={R. M. S. Mahmood},
journal={International Journal of Algebra},
year={2013},
volume={7},
pages={399-407}
}

Throughout this paper the actions of groups on graphs with inversions are allowed. An element g of a group G is called inverter if there exists a tree X where G acts such that g transfers an edge of X into its inverse. If G is a group acting on a tree X with inversions, T and Y are two subtrees of X such that T⊆Y, we call T a tree of representatives for the action of G on X if T contains exactly one vertex from each vertex orbit, and call Y a transversal for the action of G on X if each edge of… Expand

Preface Conventions 1. Groups and graphs 2. Cutting graphs and building trees 3. The almost stability theorem 4. Applications of the almost stability theorem 5. Poincare duality 6. Two-dimensional… Expand