Prüfer group

Okay kiddo, let me try to explain what a Prüfer group is like you're five years old. A Prüfer group is like a special kind of club that only has a few rules.

First, every member of the club has a name, but the names have to be a certain kind of number. They have to be what we call prime numbers, which are numbers that can only be divided by one and itself.

Second, if one member of the club likes another member, they can make a special friendship bracelet that connects them together. And if someone wants to disconnect the friendship bracelet, they can take it off and that member will not be friends anymore.

Finally, anyone who joins the club has to follow these two rules too. And they also have to follow a special secret rule called the Prüfer formula, which helps them know how many friendship bracelets they can make in the club.

So that's a Prüfer group for you, a club where members have special prime number names, make friendship bracelets to connect and disconnect with others, and follow the secret Prüfer formula rule.