The production of charged nuclear fragments was measured in collisions of 0.93 GeV/c/nucleon, 1.75 GeV/c/nucleon, and 2.88 GeV/c/nucleon alpha particles on targets of carbon, copper, lead, and CH2, using a double focusing spectrometer. Single particle inclusive cross sections are then presented for the production of protons, deuterons, tritons, 3He, and 4He at momenta from 0.5 to 11.5 GeV/c and angles from 0 to 12°. The relevance of the concept of limiting fragmentation to data is discussed and possible uses of the data to study nuclear structure and particle production mechanisms are pointed out.