Police for the first time named the alleged mastermind, Ruslan Mukhudinov, a former officer in Chechnya's Interior Ministry. Police previously spoke of him as helping organize the crime but on Tuesday described him as the person who ordered the hit.
His lawyer says there is no solid evidence against him.
"He has been an international fugitive since November 2015," Vladimir Markin, a spokesman for Russia's Investigative Committee, said of Mukhudinov. "His arrest and his reckoning with the criminal charges against him is only a matter of time."
Vadim Prokhorov, a lawyer for the Nemtsov family, said the idea that Mukhudinov was the mastermind was "complete nonsense" and looked like a bad joke.
"That he is one of the low-level organizers is obvious," said Prokhorov. "But the masterminds are highly placed people."
Zhanna Nemtsova, Nemtsov's daughter, said she was disappointed with the development. She has said she wants Ramzan Kadyrov, the Kremlin-backed head of Chechnya, to be questioned about the case.
Mukhudinov once worked as a driver for an associate of Kadyrov's in a Chechen military battalion. Kadyrov, who praised Dadayev's devotion to Russia after his arrest, has denied any involvement in the murder.
"Let her look for who organized the murder in his circle and not accuse me," Kadyrov told a Russian radio station in October. "I am ... a suspect if you listen to some liberal devils who accuse me of killing Nemtsov. It's total nonsense."
Nemtsova said she would look for international help in solving the case.
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