Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear time algorithm for the conjugacy problem in the first Grigorchuk
  group   We prove that the conjugacy problem in the first Grigorchuck group $\Gamma$
can be solved in linear time. Furthermore, the problem to decide if a list of
elements $w_1,\ldots,w_k\in\Gamma$ contains a pair of conjugate elements can be
solved in linear time. We also show that a conjugator for a pair of conjugate
element $u,v\in\Gamma$ can be found in polynomial time.

10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol