Okay kiddo, imagine you have a big puzzle that has lots of small pieces. And each small piece has a different color and shape.
Now, let’s say there are two people who both want to solve the puzzle. But one person has already put together some of the small pieces into a bigger chunk. The other person hasn't started yet.
So how do they work together to finish the puzzle?
That’s where the Lyndon-Hochschild-Serre spectral sequence comes in!
It’s a way to help the two people coordinate their efforts so that they can put together the whole puzzle, even though they have different pieces.
The Lyndon-Hochschild-Serre spectral sequence is a mathematical tool that helps put together different pieces of a puzzle, called groups. These groups are like mathematical objects that have special properties, kind of like how some puzzle pieces have corners or a certain color.
The Lyndon-Hochschild-Serre spectral sequence helps us see if two groups can fit together or if we need to keep looking for more pieces. It’s like flipping through a catalog of puzzle pieces to see which ones might work together.
Just like how the puzzle has lots of small pieces, the math behind the Lyndon-Hochschild-Serre spectral sequence can get pretty complicated. But mathematicians use it to solve important problems, just like how you can solve a puzzle!