What all permissions required for a AEM user to create AEM Asset Collection ?

I have seen that document multiple times and no where does it say what group or groups a regular user needs to be a part of to create, delete or add to a collection. The document merely shows how to do those actions and how to make a collection public. In our current environment, the only person who can create a collection, is the admin.

I am still having an issue with my instance that I am not able to create a collection.  I followed the instructions on the page that you linked, but when I go to create a collection and click Save, I get the error "Failed to create collection".  There is no error number or any other qualifying terms.

Yes as Prince suggests, check the docs which says how to assign permisions for the Asset collections(Create, Delete, so on..)

//https://docs.adobe.com/docs/en/aem/6-2/author/assets/managing-assets-touch-ui/managing-collections-touch-ui.html

~ Ratna.