is also referred to as a Dirichlet character. The Dirichlet characters modulo form a group if one defines to be the function which takes to . It turns out that this resulting group is isomorphic to . The trivial character is given by for all , and it acts as the identity element for the group. A character modulo is said to be induced by a character modulo if and . A character which is not induced by any other character is called primitive. If is non-primitive, the of all such is called the conductor of .
The character modulo given by and is a primitive character modulo . The only other character modulo is the trivial character.
|Date of creation||2013-03-22 13:22:31|
|Last modified on||2013-03-22 13:22:31|
|Last modified by||bbukh (348)|