Detecting repeated subsequences of identical items

[Serhiy Storchaka]

On 21.04.16 06:07, Steven D'Aprano wrote:
> Now I want to group subsequences. For example, I have:
>
> "ABCABCABCDEABCDEFABCABCABCB"
>
> and I want to group it into repeating subsequences.

[...]

> How can I do this? Does this problem have a standard name and/or solution?

This is a part of lossless data compression algorithms. See for example 
LZ, LZW.