Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compression bounds for wreath products   We show that if $G$ and $H$ are finitely generated groups whose Hilbert
compression exponent is positive, then so is the Hilbert compression exponent
of the wreath $G \wr H$. We also prove an analogous result for coarse
embeddings of wreath products. In the special case $G=\Z$, $H=\Z \wr \Z$ our
result implies that the Hilbert compression exponent of $\Z\wr (\Z\wr\Z)$ is at
least 1/4, answering a question posed as to whether it has positive Hilbert
compression exponent.

6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph