Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On subgroup conjugacy separability of hyperbolic QVH-groups   A group $G$ is called subgroup conjugacy separable (abbreviated as SCS) if
any two finitely generated and non-conjugate subgroups of $G$ remain
non-conjugate in some finite quotient of $G$. An into-conjugacy version of SCS
is abbreviated by SICS. We prove that if $G$ is a hyperbolic group, $H_1$ is a
quasiconvex subgroup of $G$, and $H_2$ is a subgroup of $G$ which is
elementwise conjugate into $H_1$, then there exists a finite index subgroup of
$H_2$ which is conjugate into $H_1$. As corollary, we deduce that fundamental
groups of closed hyperbolic 3-manifolds and torsion-free small cancellation
groups with finite $C'(1/6)$ or $C'(1/4)-T(4)$ presentations are hereditarily
quasiconvex-SCS and hereditarily quasiconvex-SICS, and that surface groups are
SCS and SICS. We also show that the word "quasiconvex" cannot be deleted for at
least small cancellation groups.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc