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Hilbert space compression for free products and HNN-extensions

Published 22 Feb 2010 in math.GR | (1002.3879v3)

Abstract: 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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