Complex Euler’s groups and values of Euler’s function at complex integer Gauss points

摘要

The complex Euler group is defined associating to an integer complex number z the multiplicative group of the complex integers residues modulo z, relatively prime to z. This group is calculated for z=(3+0i) n : it is isomorphic to the product of three cyclic group or orders (8, 3 n−1 and 3 n−1).