This paper describes a permutation notation for the Weyl groups of type and . The image in the permutation group is presented as well as an analysis of the structure of the group. This description enables faster computations in these Weyl groups which will prove useful for a variety of applications.
"Permutation notations for the exceptional Weyl group $F_4$." Involve 5 (1) 81 - 89, 2012. https://doi.org/10.2140/involve.2012.5.81