ELI5: Explain Like I'm 5

SQ-universal group

Okay kiddo, let me explain to you what an sq-universal group is.

First, do you know what a group is? No? Alright, a group is a mathematical concept where we have a set of things and a way of combining them together (called an operation), and this set and operation have some special properties. For example, think about addition with numbers. We have a set of numbers like 1, 2, 3, and so on, and we can combine them together by adding them up. This set and operation of addition is a group because it satisfies the special properties we want in a group.

Now, let's talk about the "sq-universal" part. This is a type of group that is special because it is connected to something called algebraic K-theory. K-theory is a big area of math that has lots of different parts to it, but in general it's all about understanding the structure of different mathematical objects (like groups or rings or other things).

The "sq" in "sq-universal" stands for "secondary equivariant cohomology". That's a big phrase, but all it means is that we're looking at how groups interact with each other in a certain way.

So, when we put all of this together, an sq-universal group is a group that has certain properties that make it useful for studying algebraic K-theory. It's a special kind of group that helps us understand other parts of math better.

Does that make sense, kiddo?