We use (111±1) million Υ(3S) and (89±1) million Υ(2S) events recorded by the BABAR detector at the PEP-II B-factory at SLAC to perform a study of radiative transitions between bottomonium states using photons that have been converted to e^+e^- pairs by the detector material. We observe Υ(3S)→γ_(χb0,2)(1P) decay, make precise measurements of the branching fractions for χ_(b1,2)(1P,2P)→γΥ(1S) and χ_(b1,2)(2P)→γΥ(2S) decays, and search for radiative decay to the η_b(1S) and η_b(2S) states
