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}
}
  • R. Mahmood
  • Published 2013
  • Mathematics
  • International Journal of Algebra
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… 

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