The radicals that attacked churches and synagogues in Derbent and Makhachkala sought to destroy the unity between Russians of different faiths, said Rabbi Berel Lazar.
Russia's Vladimir Putin calls for a new approach to migration after Tajiks living in Russia were detained after a deadly attack on a concert hall.
Last week four gunmen stormed the Crocus City Hall, an entertainment hub on the outskirts of Moscow, where a concert was about to begin. the Islamic State – Khorasan province claimed responsibility.
Russian investigators claim gunmen behind concert hall attack had ties to Ukrainian nationalists. US dismisses allegations, blaming Islamic State.
Ukrainian presidential adviser Mykhailo Podolyak said on Friday that Kyiv had nothing to do with Friday's attack by gunmen at a Moscow concert hall.
The United States had warned Russia on March 8 that "extremists" had imminent plans for an attack in Moscow.
Kyiv almost never publicly claims responsibility for attacks inside Russia or on Russian-controlled territory in Ukraine.
Russia has also blamed Ukrainian spies for bombings that killed the daughter of a nationalist writer near Moscow, and a pro-war blogger in St Petersburg.