I want to know the answer to the following question:
What expressions are utilized when is really implied to be a longer expression?
All the background I'm provided with is that "Along the same lines, shorthand expressions such as "a subset of the group G" or "an element of group G" are used when what is actually meant is "a subset of the underlying set G of the group (G, •)" or "an element of the underlying set G of the group (G, •)".". Is that enough to answer the question?
Answer: yes