Hilbert space compression under direct limits and certain group extensions
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🧮 math.GR
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groupcompressionhilbertspaceextensionsboundscertaindirect
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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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