Q. Mushtaq and A. Mahmood
A note on Salem numbers and Golden mean

It is known that every Pisot number is a limit of Salem numbers. At present there are 47 known Salem numbers less than 1.3 and the list is known to be complete through degree 40. There is a well known relationship between Coxeter systems, Salem numbers, and Golden mean.

In this short note, we have discovered the existence of Golden mean in the action of PSL₂(Z) on Q(√5 ∪ ∞) and investigated some interesting properties of these.