A balanced category is a category in which every bimorphism is an isomorphism.

An automorphism is an isomorphism of a mathematical object or system of objects onto itself.

To get a definition you can go to google.com and type in the words define isomorphism or whatever you want defined. isomorphismA map or function taking a structure A (such as a group, ring, field, etc.) exactly onto another similar structure B , so that both A (considered as a substructure of B ) and B look exactly the same. In other words, an isomorphism is an embedding that is surjective as well as injective.

See the Related Link.

7 groups, use the structure theorem

both shows isomorphism properties i.e electron groupings are similiar !