Prosolvable group

Alright kiddo, so a prosolvable group is a special type of group in math. In a group, you have a bunch of objects (like numbers or shapes) and rules for how they can be combined. A prosolvable group is a group that you can break down into smaller and smaller groups, where each smaller group is still a valid group.

Think of it like building a tower out of colored blocks. You start with a big red block and stack green blocks on top of it. Then you stack blue blocks on top of the green blocks, and so on. Each layer of the tower is a smaller group than the one below it, but they all fit together nicely to make one big tower.

Prosolvable groups have a lot of cool properties because they can be broken down like this. For example, some prosolvable groups can be used to help solve complicated math problems in a more straightforward way than other types of groups. So they're really useful for mathematicians and people who work with math a lot.