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arxiv: 1002.3879 · v3 · submitted 2010-02-22 · 🧮 math.GR

Hilbert space compression for free products and HNN-extensions

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keywords compressionhilbertspacefinitefreesubgroupboundsfind
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Given the Hilbert space compression of two groups, we find bounds on the Hilbert space compression of their free product. We also investigate the Hilbert space compression of an HNN-extension of a group relative to a finite normal subgroup or a finite index subgroup.

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