Cyclic subspace

A cyclic subspace is a special type of group of objects that go around in a circle. Imagine that you have some toys lined up in a row, like a train. Each toy has a special power that makes it move a certain number of steps forward when you push it. Now, if you pick one toy and push it a bunch of times, you'll see that it keeps moving and eventually comes back to where it started. This whole group of toys that can be reached by pushing just that one toy is called a cyclic subspace. It's like a mini-circle that is built from one toy as a base. This idea is used in math to study how different "powers" or "operations" can move things in a circle, and how where you start can affect where you end up. So, cyclic subspaces help us understand how things move in a cycle, and how they are related to each other.