Then these women have sadly fallen through the cracks. When you are intiated into a sorority, you pledge to be faithful to them basically forever. If you transfer and join another it's clear that these women only want to be a member of a sorority, not a sisterhood.

It's up to most Panhellenic groups at the Universities to clearly go over the transcripts and applications of potential "rushees" on their campus. If DZ found out that a newly initiated sister had lied on her application, and did belong to another org, then she would have her badge pulled.