Is Phi Mu really a fraternity, as listed in the community news in Friday’s paper? Brenau University’s Phi Mu Fraternity is considered as such despite being a woman’s organization. “The reason we have that formal name is because we are one of the oldest women’s fraternities, and at the time, the word “sorority” hadn’t really been coined yet,” said Beth Ward, director of communications with Phi Mu national headquarters.