Hilbert space compression for free products and HNN-extensions

Details Hilbert space compression for free products and HNN-extensions Hilbert space compression for free products and HNN-extensions

2010-02-22

arxiv.org/abs/1002.3879v3

Mathematics

Group Theory

18 pages

Scientific paper

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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