Triviaaliryhmä
Triviaaliryhmä is the smallest possible group in abstract algebra. It consists of only one element, usually denoted by 'e' or '0', which acts as the identity element under the group operation. The group operation is defined such that any element combined with the identity element results in the identity element itself. For example, if the operation is denoted by '*', then e * e = e.
Because there is only one element, the group axioms are trivially satisfied. The closure property holds as
The trivial group is unique up to isomorphism. This means that any group with only one element