VHP, an RSS affiliate, however, vowed to continue its work related to protection of cow, saying they have been doing it for a long time and will continue the work.
"We appeal to all the sections of the society to remain aware of elements who want to disturb the environment of communal harmony and trust. We expect the administration to take speedy action against such individuals and groups who break the law," RSS general secretary Bhaiyaji Joshi, second in chain of command after its Sar Sanghchalak Mohan Bhagwat, said in a statement.
He said taking law in one's own hands to harass Dalits was not only illegal but also inhuman.
While declining to comment on the attacks on Dalits and Muslims by cow vigilantes, VHP joint general secretary Surendra Jain said there was a lot of controversy over it.
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"We will not like to comment on the issue. However, cow protection has been going on since long. We will continue to work for it," Jain said.
The comments by RSS and VHP came in the backdrop of Prime Minister Narendra Modi strongly rebuking perpetrators of violence on Dalits in the name of cow protection, telling them, "if you have to shoot, shoot me" but stop attacking "my Dalit brethers".
Joshi said that several political parties and leaders of various castes are trying to create a situation of uncertainty through half baked information which is not conducive to harmony.
RSS also would like to appeal to political parties and various heads that there is a need to normalise the situation of uncertainty through public cooperation, Joshi said.
However, Modi faced flak from some Hindutva groups with
the chief of a right wing organisation sending him a legal notice and alleging that his comments will encourage cow smugglers.
"Modi said over 70-80 per cent of those working to protect cows are anti-social elements. I have asked him to clarify what evidence he has to back his statement. His comments are a big setback to cow protectors as they will be now seen as a villain by the society," Akhil Bhartiya Hindu Mahasabha president Swamy Chakrapani said.
"Cow smugglers will receive a boost and attack cow protectors more aggressively now," he added.
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Talking to reporters in Nagpur, RSS ideologue and former spokesperson M G Vaidya said the government should take a strict action against those who attack Dalits in the name of cow protection.
"When there is a law against cow slaughter and provision of punishment for such acts, the so-called cow protectors should inform the police instead of taking law into their own hands," he said.
The RSS veteran said "such elements" are defaming Hindu religion.
"The government should find out the credentials of such elements so that truth comes out before people," he added.