Assembly for fixing an end of a support extending in a longitudinal direction with a measurement graduation (16.1) for position measurement at least in a longitudinal direction on an attachment face of a carrier, wherein the assembly has a first fixing element and a second fixing element, wherein the first fixing element and the second fixing element can be positioned on sides of the support that are opposite in the longitudinal direction, and wherein the first fixing element and the second fixing element are formed in such a way that the support can be contacted laterally at its ends by the first fixing element and the second fixing element, wherein the first fixing element is formed in such a way that the support can be supported rigidly with respect to the carrier in the longitudinal direction at its end facing the first fixing element, and wherein the second fixing element is formed in such a way that the support can be supported freely movably with respect to the carrier at its end facing the second fixing element, characterized in that the first fixing element has a first main section, which can be connected rigidly to the carrier, and a first group of subsections (32.1 to 32.4), which can be connected rigidly to the support, wherein the first main section extends at least partly in a first plane transverse to the longitudinal direction, and wherein the subsections (32.1 to 32.4) of the first group are arranged along a circular circumference lying in the first plane, distributed around a first centre point, wherein respective first connecting sections (34.1 to 34.4) are arranged between the first main section and the subsections (32.1 to 32.4) of the first group, wherein the first connecting sections (34.1 to 34.4) are formed in such a way that they permit movement between the first main section and the subsections (32.1 to 32.4) of the first group in a radial direction relative to the first centre point but do not permit movement between the first main section and the subsections (32.1 to 32.4) of the first group in a circumferential direction relative to the first centre point, wherein, in addition to the first group of subsections (32.1 to 32.4), the first fixing element has a further subsection (32.5), which can be connected rigidly to the support, wherein the further subsection (32.5) is arranged in the first plane at the first centre point, and wherein the first main section and the further subsection (32.5) can be connected to each other via a connecting means (34.5) in such a way that a movement between the first main section and the further subsection (32.5) in the longitudinal direction is prevented, and in that the second fixing element has a second main section, which can be connected rigidly to the carrier, and a second group of subsections (42.1 to 42.4), which can be connected rigidly to the support, wherein the second main section extends at least partly in a second plane transverse to the longitudinal direction, and wherein the subsections (42.1 to 42.4) of the second group are arranged along a circular circumference lying in the second plane, distributed about a second centre point, wherein respective second connecting sections (44.1 to 44.4) are arranged between the second main section and the subsections (42.1 to 42.4) of the second group, wherein the second connecting sections (44.1 to 44.4) are formed in such a way that they permit movement between the second main section and the subsections (42.1 to 42.4) of the second group in the radial direction relative to the second centre point but do not permit movement between the second main section and the subsections (42.1 to 42.4) of the second group in the circumferential direction relative to the second centre point, wherein the first plane and the second plane are those planes which can be attached to the ends of the support, wherein the first connecting sections (34.1 to 34.4) are formed in such a way that they permit movement between the first main section and the subsections (32.1 to 32.4) of the first group in the longitudinal direction, and wherein the second connecting sections (44.1 to 44.4) are formed in such a way that they permit movement between the second main section and the subsections (42.1 to 42.4) of the second group in the longitudinal direction.