  We use photometry from the Kepler Mission to study oscillations in gamma
Doradus stars. Some stars show remarkably clear sequences of g modes and we use
period echelle diagrams to measure period spacings and identify rotationally
split multiplets with l=1 and l=2. We find small deviations from regular period
spacings that arise from the gradient in the chemical composition just outside
the convective core. We also find stars for which the period spacing shows a
strong linear trend as a function of period, consistent with relatively rapid
rotation. Overall, the results indicate it will be possible to apply
asteroseismology to a range of gamma Dor stars.
