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We present a study of the overdensity of X-ray selected AGN in 33 galaxyclusters in the XMM-LSS field, up to redhift z=1.05. Previous studies haveshown that the presence of X-ray selected AGN in rich galaxy clusters issuppressed. In the current study we investigate the occurrence of X-rayselected AGN in low and moderate X-ray luminosity galaxy clusters. Due to thewide contiguous XMM-LSS survey area we are able to extend the study to thecluster outskirts. We therefore determine the projected overdensity of X-raypoint-like sources out to 6r_{500} radius. To provide robust statisticalresults we also use a stacking analysis of the cluster projected overdensities.We investigate whether the observed X-ray overdensities are to be expected byestimating also the corresponding optical galaxy overdensities. We find apositive X-ray projected overdensity at the first radial bin, which is howeverof the same amplitude as that of optical galaxies. Therefore, no suppression ofX-ray AGN activity with respect to the field is found, implying that themechanisms responsible for the suppression are not so effective in lowerdensity environments. After a drop to roughly the background level between 2and 3r_{500}, the X-ray overdensity exhibits a rise at larger radii,significantly larger than the corresponding optical overdensity. Finally, usingredshift information of all optical counterparts, we derive the spatialoverdensity profile of the clusters. We find that the agreement between X-rayand optical overdensities in the first radial bin is also suggested in the3-dimensional analysis. However, we argue that the X-ray overdensity "bump" atlarger radial distance is probably a result of flux boosting by gravitationallensing of background QSOs. For high redshift clusters an enhancement of X-rayAGN activity in their outskirts is still possible.

X-ray AGN in the XMM-LSS galaxy clusters: no evidence of AGN suppression