Vorinostat and Combination Chemotherapy With Rituximab in Treating Patients With HIV-Related Diffuse Large B-Cell Non-Hodgkin Lymphoma or Other Aggressive B-Cell Lymphomas

This partially randomized phase I/II trial studies the side effects and the best dose of vorinostat when given together with combination chemotherapy and rituximab to see how well it works compared to combination chemotherapy alone in treating patients with human immunodeficiency virus-related diffuse large B-cell non-Hodgkin lymphoma or other aggressive B-cell lymphomas. Vorinostat may stop the growth of cancer cells by blocking some of the enzymes needed for cell growth. Drugs used in chemotherapy work in different ways to stop the growth of cancer cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Monoclonal antibodies, such as rituximab, may interfere with the ability of cancer cells to grow and spread. Giving vorinostat together with combination chemotherapy and rituximab may kill more cancer cells.