The group, which is militantly in favour of reforming the ARB's work, and which dominated last year's election for architect board members, has surprisingly decided against putting up a candidate.
The chairmanship is decided by an election of all the board members, which is made up of eight 'lay members' and seven architect members.
Until the next board meeting, the ARB will be chaired by construction judge Humphrey Lloyd, who has used his fierce intellect to repeatedly defeat those who want to see the ARB's activities pared back.
The election for vice chair will be between Colin Brock, who is a member of ARG, and Elizabeth Rees, another lay member.
A source close to the group said it was completely unclear why the ARG had seemingly no interest in the chairmanship.
'I don't know how this happened. Its not clear to anyone why they're not standing,' he said.
Both elections will be held on 22 February.