  Precise infrared magnetotransmission experiments have been performed in
magnetic fields up to 32 T on a series of multilayer epitaxial graphene
samples. We observe changes in the spectral features and broadening of the main
cyclotron transition when the incoming photon energy is in resonance with the
lowest Landau level separation and the energy of a K point optical phonon. We
have developed a theory that explains and quantitatively reproduces the
frequency and magnetic field dependence of the phenomenon as the absorption of
a photon together with the simultaneous creation of an intervalley,
intra-Landau-level exciton, and a K phonon.
