Isoperimetry of nilpotent groups

Abstract

This survey gives an overview of the isoperimetric properties of nilpotent groups and Lie groups. It discusses results for Dehn functions and filling functions as well as the techniques used to retrieve them. The content reaches from long standing results up to the most recent development.

Keywords

Nilpotent groups / nilpotent Lie groups / Dehn functions / filling functions

References

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Higher Education Press and Springer-Verlag Berlin Heidelberg