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Wideband slow light away from band edge in one-dimensional (1-D) structure is proposed and theoretically investigated for the first time. With carefully chosen structure parameters of the 1-D holey grating waveguide, an ideal chair shape band with unique inflection points of high group index beyond 1000 can be obtained. By chirping the structure according to the scaling law, wideband up to 31-nm slow light pulse propagation with a moderate group index of 14.6 is demonstrated by finite-difference time-domain simulation, and the relative pulse shape expansion is only 2.34%.