Examples from the Web for isomorphism
The following table shows where isomorphism may be generally expected.
Moreover, the isomorphism is simple unless for one or more operations, other than identity, the sets all remain unaltered.
A subgroup of a group G, which is transformed into itself by every isomorphism of G, is called a characteristic subgroup.
In this case H would contain a self-conjugate subgroup, and the isomorphism is multiple.
In the first case the isomorphism is spoken of as simple, in the second as multiple.