Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embeddings into left-orderable simple groups   We prove that every countable left-ordered group embeds into a finitely
generated left-ordered simple group. Moreover, if the first group has a
computable left-order, then the simple group also has a computable left-order.
  We also obtain a Boone-Higman-Thompson type theorem for left-orderable groups
with recursively enumerable positive cones. These embeddings are Frattini
embeddings, and isometric whenever the initial group is finitely generated.
  Finally, we reprove Thompson's theorem on word problem preserving embeddings
into finitely generated simple groups and observe that the embedding is
isometric.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph