Prior to his 1966 conviction for rape, Kvantrishvili was on his way to becoming a world-champion wrestler. In the 1980s he then founded the Dynamo Sports Club and later the 21st Century Association, an organisation ostensibly dedicated to funding sports but was widely regarded as a front for racketeering. During the chaotic transition to capitalism in the early 1990s, Kvantrishvili became something of a public face for the mafia, befriending politicians and celebrities such as Joseph Kobzon while also acting as a mediator between various underworld factions, including the thieves in law and Slavic and Chechen mobsters.
In late 1993, Kvantrishvili publicly announced his intention to enter politics through a new party, the Party of Sportsmen, at a conference attended by many well-known athletes. But several months later he was shot dead by a sniper while leaving a bathhouse.
On September 29, 2008, four members of the Orekhovo-Medvedkovo gang were convicted, among other things, for organizing Kvantrishvili's murder. Oleg Pylev was sentenced to life in prison, Aleksei Sherstobitov received 23 years of imprisonment, Pavel Makarov – 13 years and Sergei Yelizarov – 11 years. Sherstobitov was the one who actually killed Kvantrishvili. He received a Lada car as payment for Kvantrishvili's murder.
- "Смерть Квантришвили была необходима". Газета.Ru. Retrieved 2017-09-07.
- Friedman, Robert; Red Mafiya: How the Russian Mob Has Invaded America; 2000
- Khlebnikov P.; Conversation with a Barbarian: Interviews with a Chechen Field Commander on Banditry and Islam - Moscow, Detekiv-Press, 2003
- NY Times - A Slaying Puts Russian Underworld on Parade
- Repentance did not count for Lyosha the Soldier Kommersant, September 30, 2008