Abstract
Consider a group acting nicely on a simply-connected simplicial complex . Numerous classical methods exist for using this group action to produce a presentation for . For the case that is –connected, we give a new method that has the novelty that one does not have to identify a fundamental domain for the action. Indeed, the resulting presentation is canonical in the sense that no arbitrary choices need to be made. It can be viewed as a nonabelian analogue of a simple result in the study of equivariant homology.
Citation
Andrew Putman. "Obtaining presentations from group actions without making choices." Algebr. Geom. Topol. 11 (3) 1737 - 1766, 2011. https://doi.org/10.2140/agt.2011.11.1737
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