Women's Tefillah Group

Question: May women organize a Women's Tefillah Group with a Torah reading?
Answer: No. There is no such concept, it is a new creation. We may not invent Halachot. See what Ha-Rav Herschel Schachter wrote: that there are 12 prohibitions violated by doing so (Be-Ikvei Ha-Tzon pp. 21-37). See also Ha-Rav Soloveitchik in Mi-Penini Ha-Rav pp. 67-68).