No such law has been proven to exist, anywhere in the states, that forbids the co-habitation of a large number of women.
The more likely reason for a lack of on-campus sorority homes is that fraternities existed long before sororities, sororities were not supported by many universities when they were first created, they are historically, not as wealthy and, most likely of all, zoning laws near the a university campus would prohibit them!
Attention: NOTHING on this site may be reproduced in any fashion whatsoever without explicit consent (in writing) of the owner of said material, unless otherwise stated on the page where the content originated. Search engines are free to index and cache our content. Users who post their account names or personal information in their questions have no expectation of privacy beyond that point for anything they disclose. Questions are otherwise considered anonymous to the general public.