I was reading a Hypergraph Isomorphism than I encounter a new term called " supergroup ", I know what a subgroup means but about supergroup I don't know anything. I tried to read from the wikipedia and get this :
The concept of supergroup is a generalization of that of group. In other words, every supergroup carries a natural group structure, but there may be more than one way to structure a given group as a supergroup.
Even after reading his I am feeling like I am not getting the feeling that I have understood the definition of supergroup.
Please explain the defintion of supergroup with example and what is its significance in group theory.
Thanks in advance.
Reference : https://en.wikipedia.org/wiki/Supergroup_(physics) (Please note that in this article they have defined the term " Lie supergroup " but I am asking about " supergroup ". I don't know these two terms are same or different)