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We report on high resolution X-band electron spin resonance (ESR) spectroscopy studies of the spin-ladder material (C_{5}H_{12}N)_{2}CuBr_{4}. Our experiments provide a direct evidence for the presence of anisotropy in (C_{5}H_{12}N)_{2}CuBr_{4} in contrast to a fully isotropic spin-ladder model employed for this system previously. Low-temperature angular dependence of ESR transitions is analyzed employing a simple spin-1/2 dimer model with the symmetric anisotropic exchange interaction.
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