In New Delhi, about 30 people, including college students, rallied outside a police station, carrying placards demanding justice.
Defence Minister Rajnath Singh, "This act has brought shame to the entire country. These kinds of people (the accused) should be brought out in public and lynched".
Other MPs also spoke strongly on the subject.
Jaya's statement was supported by AIADMK MP Vijila Sathyanath, who even broke down during her speech in the Parliament.
"The fact that our governments are not doing enough to make streets well lit and safer for women to be out in big numbers, that is the problem".
"[The] judiciary is interested in regulating women's sexuality and judging them rather than offering them justice", she said.
DMK's P Wilson suggested that rapists should be chemically or surgically castrated. The country should revisit mercy for juvenile offenders, he added.
"The punishment should be publicized so that people think twice before committing such a heinous crime", Sen said. "Our government is open to every suggestion anyone has to give to curb such heinous crimes".
Several countries, including the USA, have issued a travel advisory to their citizens travelling to India warning them to exercise increased caution due to rapes and other problems. To note, the police has also been slammed for their negligence in the case. "State governments should take strong action in such matters", he said.
The incident took place on Wednesday when the woman left home around 5.50 pm to visit a dermatologist in Gachibowli.
The woman said she was "afraid", according to her sister's testimony to police. They then smothered her to death, drove the body some distance away and set her on fire around 2.30 am. The sister called back later but the victim's phone was switched off. Stressing that implementation of laws is important, she demanded that police resources be increased and their accountability fixed. Udwin says that "these men are not the disease, they are the symptoms", and that "these offences against women and girls are a part of the story, but the full story starts with a girl not being as welcome as a boy, from birth". Three police officers have been suspended due to the allegations made by the victim's family.