Effects of dimensionality on magnetic and electric properties of one-and two-dimensional GeMn systems and the role of defects in magnetic ordering are investigated by means of electron spin resonance ͑ESR͒ and superconducting quantum interference device magnetometry techniques. Arrays of Ge 1−x Mn x nanowires and thin Ge:Mn films with similar concentrations of the magnetic impurity ͑x =1% -8%͒ have been fabricated by chemical synthesis and ion implantation, respectively. In magnetically homogeneous Ge 1−x Mn x nanowires, all observed electron spin resonances are related to absorption on individual magnetic centers ͑Mn 3+ and Mn 2+ ions and polarized charge carriers͒ in a broad temperature range, T = 5 -300 K. On the other hand, in strongly inhomogeneous 2D GeMn films, a collective spin excitation, the spin-wave resonance, is observed at low temperatures, T =5-60 K. This signifies the presence of long-range spin states and a cooperative magnetic response originating from crystalline Mn 5 Ge 3 precipitates and Mn-rich amorphous nanoclusters as well as diluted Mn ions. Additionally, a strong negative background was observed and attributed to the microwave magnetoresistance of the Ge:Mn thin films. The absence of the magnetoresistance in Ge 1−x Mn x nanowires indicates that the scattering of charge carriers is determined by dimensions of the structure. Overall, our analysis of magnetic-resonance phenomena reveals a significant difference between one-dimensional and twodimensional magnetic semiconductors. It emphasizes the important role of dimensionality as well as the type and distribution of magnetic defects in spin-dependent scattering and dynamic magnetic properties of GeMn semiconductors.