The exhaust-gas turbine comprises a turbine wheel arranged on a shaft, a bearing casing for the bearing arrangement of the rotatable shaft, a gas-inlet casing supported on the bearing casing and concentrically surrounding the bearing casing in the supporting region, and a centering ring for centering the gas-inlet casing relative to the shaft mounted in the bearing casing. The centering ring and either the bearing casing or the gas-inlet casing comprise grooves and either radially or axially unidirectional centering lugs for engaging in the grooves. Due to the radially or axially unidirectional centering lugs with corresponding grooves, at least one of the connections between the bearing casing and the centering ring and the centering ring and the gas-inlet casing is not positive-locking, as a result of which any desired positioning of the gas-inlet casing relative to the bearing casing is made possible.