Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exploration of normalish subgroups of R. Thompson's groups $F$ and
  $T$   In this short note, we show that R. Thompson's group $F$ admits a normalish
amenable subgroup, and that the standard copy of $F$ in R. Thompson's group $T$
is normalish in $T$. We further conjecture that if $F$ is non-amenable, then
$T$ does not admit a normalish amenable subgroup, and therefore that the
reduced $C^*$ algebra of $T$ is in fact simple in that case.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg