Chief Minister Oommen Chandy described the crime as "shocking" and said the culprits will be brought to book.
Police said two persons were taken into custody and were being questioned by a police team, headed by Ernakulam Range IG Mahipal Yadav. However, it was not yet known whether they are the real culprits. No details of the ongoing investigation have been revealed by police.
The crime has been dubbed "Kerala's Nirbhaya" for its chilling similarities to the gang-rape in 2012 of a young Delhi student on a moving bus. The girl later succumbed to her injuries.
Kerala State Commission for Scheduled Caste and Tribes registered a suo motu case into the incident and asked police to submit a report on the progress of the probe by May 28 while the Kerala Human Rights Commission ordered that the probe be handed over to the Crime branch.
Also Read
"Kerala is shocked by the brutal murder of a young woman. The culprits will be brought to book and the severest punishment will be ensured to those who involved into the incident," Chandy said.
Condemning the crime as a 'heinous one', chairman of the state commission for scheduled castes and tribes, Justice P N Vijayakumar said he has sought formation of a Special Investigation Team to probe the incident.
The commission also suggested that special mobile squads such as those operating in Wayanad, Palakkad and Kasaragod be formed for the safety of SCs and STs, in all districts of the state for the security of women and children irrespective of caste barriers.
The brutal murder has shocked the state, with women
Students and rights activists took out protest marches in various parts of the state condemning the incident.
Students of Kerala University at Thiruvanathapuram broke pots, considering it as the symbol of cruelty shown by society towards women, to mark their protest. Protests were also held by Law college students at Ernakulam.
State Women's Commission Chairperson K C Rosakutty said she would take all necessary steps to pressure police to nab all those behind the brutal act at the earliest.
Terming the incident as 'devilish', CPI(M) leader and Lok Sabha MP, P K Sreemathi said no other women in the state should be subjected to such a cruelty any more.
Meanwhile, Ernakulam Range IG Mahipal Yadav, who is supervising the probe, told reporters outside the DySP office at Perumbavoor, "This is a murder. A murder has taken place. As per our information and as per our investigation, the accused is only one person. Some people have seen one person coming out of the house (of the woman)."
He dismissed suggestions that it was similar to the gangrape and murder of a Delhi student in 2012 as the accused in the case is one person.
The senior officer said police were examining two persons who have been brought to the DySP office this afternoon.
He said the woman, a law student, was subjected to rape and brutal assault using sharp edged weapons before being murdered at her house on April 28.
"There is sign of strangulation, there is sign of smothering and 13 injuries on neck, chest and several other places," he said.
Meanwhile, braving a scorching sun, hundreds of youths, mostly under the banner of Left wing youth organisations, gathered at various places in Perumbavoor condemning the incident and seeking justice.
Activists belonging to AIYF and DYFI jumped in front of Chennithala's car as he reached the hospital. The protesters shouted slogans condemning delay in arresting the culprits.
Chennithala, who could not meet the victim's mother, accused the opposition of politicising the issue.