A bench of Chief Justice G Rohini and Justice Jayant Nath also sought reply from the Delhi Police Commissioner over the allegation that police took no action in the matter, even when the girl's parents had lodged a complaint in January 2013, which "emboldened the culprits who kept on harassing victim".
"Notice to the respondents (Delhi government and Delhi Police Commissioner). Reply be filed within four weeks. List it for September 15," it said.
The petitioner sought that the victim's parents be rehabilitated and given a compensation of Rs 20 lakh.
He said that the direction be given to restrain the "Delhi government from creating panic in the mind of general public by propagating false information about the incident through official advertisements telecast on TV channels, newspapers, hoardings or in any manner".
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The girl was stabbed to death on July 16 by two brothers after she objected to their verbal abuse in central Delhi's Anand Parbat area.
Delhi government's standing counsel Raman Duggal, however, told the court that action has already been taken against the culprits and two of the accused has been arrested in the case, who are currently in judicial custody.