Determiners before words like "some" and "a lof of"

Hi. Please help. I think the words "some,""many," and "few" are determiners, as are the words "the" and "a." Then could we put one determiner after another, like "the some people"? I don't think we can have two determiners one after the other to form some sort of phrase, but I think it is correct to write, "The many people who were here yesterday were from our town," and "The few people who were here yesterday were from our town," but I don't know it is correct to write "The some people who were here yesterday were from our town." - sounds wrong.

How about the words "a lot of"? Could we have the determiners "the" and "a" before them to form a phrase? Thank you in advance.