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math.GR2013
Equivariant compression of certain direct limit groups and amalgamated free products
Chris Cave, Dennis Dreesen
We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G_i whose direct limit is G. Quantifying a result by S.R. Gal, we al…
math.GR2013
Embeddability of generalized wreath products and box spaces
Chris Cave, Dennis Dreesen, Ana Khukhro
Given two finitely generated groups that coarsely embed into a Hilbert space, it is known that their wreath product also embeds coarsely into a Hilbert space. We introduce a wreath…
math.GR2013
Embeddings of locally compact hyperbolic groups into Lp-spaces
Dennis Dreesen, Chris Cave
In the last years, there has been a large amount of research on embeddability properties of finitely generated hyperbolic groups. In this paper, we elaborate on the more general cl…