The two Left students' organisations took out a procession from College street in central Kolkata to Esplanade in the city.
"We demand immediate arrests of all the culprits involved in the heinous crime and all of them should be given severe punishment," SFI leader Madhuja Sen Roy said.
A week after the brutal rape and murder of a Dalit woman in Ernakulam district, Kerala Police today said the incident appears to be a "planned one" and its probe has entered a "crucial stage".