WOLFRAM|DEMONSTRATIONS PROJECT

The Size of an Automorphism Group

​
group
3

*
3
≅

2
≅

2
≅
S
2
Total automorphisms: 1
Minimum number of generators: 1

This Demonstration expresses a multiplicative unit group modulo an integer in terms of isomorphic additive groups and then uses the additive groups to compute the total number of automorphisms of the unit group.