Hilbert space compression under direct limits and certain group extensions

Details Hilbert space compression under direct limits and certain group extensions Hilbert space compression under direct limits and certain group extensions

2010-09-10

arxiv.org/abs/1009.2014v2

Mathematics

Group Theory

Scientific paper

We find bounds on the Hilbert space compression of the limit of a directed
metric system of groups. We also give estimates on the Hilbert space
compression of group extensions of a group $H$ by a a word-hyperbolic group or
a group of polynomial growth.

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