Union Minister and senior BJP leader from the state Pon Radhakrishnan said a "right decision would be taken at the right time by the Central government".
"This is not an issue that could be politicised," he said reacting to the government's decision announced yesterday to remit the life imprisonment of the seven convicts and release them.
The state government has intimated its decision to the Centre and sought its views under CrpC section 435, which requires the state to consult the Central government in certain cases before taking action.
"One has to take a humane approach while looking at the time spent by them (the seven convicts) in jail but everything should be within the legal framework," she said.
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PMK Chief S Ramadoss said, "It is an exercise aimed at seeking political mileage", as he lashed out at Jayalalithaa for not choosing to use Article 161 of the Constitution, which deals with power of governor to grant remit sentences, to free the seven convicts.
The present exercise would never succeed, he claimed.
Tamilaga Vazhvurimai Katchi chief Panruti T Velmurugan said Jayalalithaa's move was "historic" and urged the Centre to give its nod for remission.
The state government has said it took the decision on petitions from the seven convicts requesting it to release them as they had spent more than 20 years in prison.
The convicts are V Sriharan alias Murugan, T Suthendraraja alias Santhan, A G Perarivalan alias Arivu, Jayakumar, Robert Payas, Ravichandran and Nalini.
His son and DMK Treasurer M K Stalin said the government had taken up the issue "with an eye" on the coming election.
The state government's move also had its echo in Parliament where Congress opposed it.