## Factorization problem in Cyclic cubic field

Let K/Q be a cubic number field. Assume that K/Q be Galois with class number 1. Therefore Gal(K/Q) is cyclic cubic group and OK is a PID. Let p be a rational prime, p doesn’t divide disc(K). Then p is splits completely or inert in K. Consider the unit group O∗K. Does there exists a … Read more