Hilbert space compression under direct limits and certain group extensions

Dreesen, Dennis

doi:10.1090/S0002-9939-2012-11341-3

Hilbert space compression under direct limits and certain group extensions
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Proc. Amer. Math. Soc. 141 (2013), 421-436 Request permission

Abstract:

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

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