The dielectric relaxation properties of an infinite linear dipolar chain molecule are studied by using Glauber dynamics. Normalized complex permittivity as a function of frequency is derived from the Fourier transform of the time-delayed correlation function of Glauber. It is shown that the onset of many-body interactions between nearest neighbors shifts the initial Debye peak of non-interacting system to lower frequencies, as well as making the peak broader and asymmetric with the increase of the coupling constant. In addition, a decay function of a single dipole and a decay function of the whole dipolar chain are obtained using Monte Carlo (MC) simulations. The results of the analysis show that the relaxation behavior of this system is in full agreement with the Kohlrausch-Williams-Watts (KWW) decay function. (c) 2005 Elsevier B.V. All rights reserved.