A ground compaction apparatus for compacting a subsoil cover layer, - with at least one compaction roller which is mounted on a support structure of the ground compaction apparatus for rotation about a horizontal traveling rotation axis extending transversely to a working direction (a), and which comprises a cylindrical external surface rolling on the underlying ground during compaction operation - with a cover edge processing apparatus arranged on the support structure, comprising an edge processing roller, an adjustable roller holding device, in particular an adjustment arm, as well as an adjustment drive, wherein the edge processing roller is mounted on the adjustable roller holding device for rotation about a roller rotation axis, and wherein the adjustable roller holding device together with the edge processing roller is mounted on the support structure such that it can be adjusted from a passive position into an edge processing position relative to the external surface of the compaction roller driven by the adjustment drive, - and with a cut material deflector with at least one material guide surface provided to push cut cover material produced during working operation of the cover edge processing apparatus away from the subsoil cover layer in the direction of the traveling rotation axis while passing over the subsoil cover layer, characterized in that the cut material deflector is mounted on the cover edge processing apparatus with the aid of a mounting device, the mounting device being configured such that the relative position of the at least one material guide surface of the cut material deflector with respect to the adjustable roller holding device of the cover edge processing apparatus can be changed automatically, and the mounting device for mounting the cut material deflector on the cover edge processing apparatus has at least one of the following features: - it is configured such that it adjusts the relative position of the at least one material guide surface with respect to the adjustable roller holding device depending on the adjustment position of the adjustable roller holding device with respect to the support structure; - it is configured such that it adjusts the relative position of the at least one material guide surface with respect to the adjustable roller holding device depending on gravity; - it is configured such that it adjusts the relative position of the at least one material guide surface with respect to the adjustable roller holding device through interaction with an underlying ground. - with at least one compaction roller which is mounted on a support structure of the ground compaction apparatus for rotation about a horizontal traveling rotation axis extending transversely to a working direction (a), and which comprises a cylindrical external surface rolling on the underlying ground during compaction operation - with a cover edge processing apparatus arranged on the support structure, comprising an edge processing roller, an adjustable roller holding device, in particular an adjustment arm, as well as an adjustment drive, wherein the edge processing roller is mounted on the adjustable roller holding device for rotation about a roller rotation axis, and wherein the adjustable roller holding device together with the edge processing roller is mounted on the support structure such that it can be adjusted from a passive position into an edge processing position relative to the external surface of the compaction roller driven by the adjustment drive, - and with a cut material deflector with at least one material guide surface provided to push cut cover material produced during working operation of the cover edge processing apparatus away from the subsoil cover layer in the direction of the traveling rotation axis while passing over the subsoil cover layer, - it is configured such that it adjusts the relative position of the at least one material guide surface with respect to the adjustable roller holding device depending on the adjustment position of the adjustable roller holding device with respect to the support structure; - it is configured such that it adjusts the relative position of the at least one material guide surface with respect to the adjustable roller holding device depending on gravity; - it is configured such that it adjusts the relative position of the at least one material guide surface with respect to the adjustable roller holding device through interaction with an underlying ground.