Combination Chemotherapy Plus Peripheral Stem Cell Transplantation in Treating Patients With Stage III or Stage IV Ovarian, Fallopian Tube, or Primary Peritoneal Cancer

RATIONALE: Drugs used in chemotherapy use different ways to stop tumor cells from dividing so they stop growing or die. Combining chemotherapy with peripheral stem cell transplantation may allow the doctor to give higher doses of chemotherapy drugs and kill more tumor cells. PURPOSE: Phase II trial to study the effectiveness of combination chemotherapy plus peripheral stem cell transplantation in treating patients who have stage III or stage IV ovarian, fallopian tube, or primary peritoneal cancer.