Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On 3-transposition groups generated by $\sigma$-involutions associated
  to c=4/5 Virasoro vectors   In this paper, we show that $\sigma$-involutions associated to extendable
c=4/5 Virasoro vectors generate a 3-transposition group in the automorphism
group of a vertex operator algebra (VOA). Several explicit examples related to
lattice VOA are also discussed in details. In particular, we show that the
automorphism group of the VOA $V_{K_{12}}^{\hat{\nu}}$ associated to the
Coxeter Todd lattice $K_{12}$ contains a subgroup isomorphic to
${}^+\Omega^{-}(8,3)$.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys