Description
When a factor group G=AB is considered as a product of two subgroups, related with certain permutability conditions, the natural question is to determine what we can say about G from the properties of A and B, and what we can say about A and B from properties of G.
The fathoms are associated to trifactor groups with structural properties that effectively determine solutions of the quantum Yang-Baxter equation.
Keywords
group, factored group, product of groups, classes of groups, fathoms
Frascati classification