  We investigate extremely luminous dusty galaxies in the environments around
WISE-selected hot dust obscured galaxies (Hot DOGs) and WISE/radio-selected
active galactic nuclei (AGNs) at average redshifts of z = 2.7 and z = 1.7,
respectively. Previous observations have detected overdensities of companion
submillimetre-selected sources around 10 Hot DOGs and 30 WISE/radio AGNs, with
overdensities of ~ 2 - 3 and ~ 5 - 6 , respectively. We find that the space
densities in both samples to be overdense compared to normal star-forming
galaxies and submillimetre galaxies (SMGs) in the SCUBA-2 Cosmology Legacy
Survey (S2CLS). Both samples of companion sources have consistent mid-IR
colours and mid-IR to submm ratios as SMGs. The brighter population around
WISE/radio AGNs could be responsible for the higher overdensity reported. We
also find the star formation rate density (SFRDs) are higher than the field,
but consistent with clusters of dusty galaxies. WISE-selected AGNs appear to be
good signposts for protoclusters at high redshift on arcmin scales. The results
reported here provide an upper limit to the strength of angular clustering
using the two-point correlation function. Monte Carlo simulations show no
angular correlation, which could indicate protoclusters on scales larger than
the SCUBA-2 1.5arcmin scale maps.
