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# Expanders , Rank and Graphs of Groups

@inproceedings{Lackenby2008ExpandersR, title={Expanders , Rank and Graphs of Groups}, author={Marc Lackenby}, year={2008} }

- Published 2008

A central principle of this paper is that, for a finitely presented group G, the algebraic properties of its finite index subgroups should be reflected by the geometry of its finite quotients. These quotients can indeed be viewed as geometric objects, in the following way. If we pick a finite set of generators for G, these map to a generating set for any finite quotient and hence endow this quotient with a word metric. This metric of course depends on the choice of generators, but if we were to… CONTINUE READING

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