Jacob Katz asked: "Has Rabbi Ovadiah Yosef, or any of the other sefardic halakhists of our time, written anything about Women's Prayer Groups?"
I found the following prohibiting sources in Rabbis Aryeh and Dov Frimer's article Women's Prayer Services - Theory and Practice:
R. Shalom Messas, Resp. Shemesh uMagen, II, sec. 28; R. Mordechai Eliyahu in an unpublished responsum, dated 19 Kislev 5750 (Dec. 17, 1989).I thought that R. Yitzhak Yosef addressed this issue in his Yalkut Yosef, perhaps in volume 2, but I did not find reference to it in the Frimer article or in my brief notes on the subject (but he does prohibit calling women to the Torah, a la R. Mendel Shapiro, in ch. 135 par. 41).