It, however, condemned dragging of bureaucracy in the "petty" political fight.
"In principle, Swaraj Abhiyan believes that the choice of a democratically elected government should be respected by Delhi's Lieutenant-Governor. But the politics of personal allegations, brinkmanship and dragging of the bureaucracy into petty political fights is unfortunate.
"Swaraj Abhiyan condemns it and believes that such a culture is not conducive to the health of democracy," a statement from the group said.
The group also supported the AAP's stand for full statehood to Delhi.
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"Swaraj Abhiyan considers the demand for full statehood to Delhi as a genuine one. Parties like Congress and BJP have been adopting double standards and fooling the people on a critical issue. In the spirit of the democracy and benefit of citizens, we believe that important government decisions should always be taken with the elected government in confidence," it said.
Just before Yadav and Bhushan were ousted from AAP last month, along with Anand Kumar and Ajit Jha, the rebel leaders organised an convention called Swaraj Samvad, which was followed by formation of the group called Swaraj Abhiyan.