Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recognizing Right-Angled Coxeter Groups Using Involutions   We consider the question of determining whether a given group (especially one
generated by involutions) is a right-angled Coxeter group. We describe a group
invariant, the involution graph, and we characterize the involution graphs of
right-angled Coxeter groups. We use this characterization to describe a process
for constructing candidate right-angled Coxeter presentations for a given group
or proving that one cannot exist. We provide some first applications. In
addition, we provide an elementary proof of rigidity of the defining graph for
a right-angled Coxeter group. We also recover a result stating that if the
defining graph contains no SILs, then Aut^0(W) is a right-angled Coxeter group.

26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg