Presentations of noneffective orbifolds

@article{Henriques2003PresentationsON,
  title={Presentations of noneffective orbifolds},
  author={A. Henriques and D. Metzler},
  journal={Transactions of the American Mathematical Society},
  year={2003},
  volume={356},
  pages={2481-2499}
}
It is well known that an effective orbifold M (one for which the local stabilizer groups act effectively) can be presented as a quotient of a smooth manifold P by a locally free action of a compact Lie group K. We use the language of groupoids to provide a partial answer to the question of whether a noneffective orbifold can be so presented. We also note some connections to stacks and gerbes. 
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