• Corpus ID: 237491061

Is Unreasonable Slightness a General Phenomenon?

  title={Is Unreasonable Slightness a General Phenomenon?},
  author={Arseniy Sheydvasser},
We consider the problem of determining when certain types of arithmetic groups like SLp2,Oq are generated by their elementary matrices. We give a simple, geometric criterion with a similarly simple proof based on finding fundamental domains for Kleinian groups. This both gives a new geometric proof for older results of Cohn, Nica, and others, and allows us to extend some of those old ideas in new directions. 

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