Abramov is a graduate of the Tashkent State University of Economics.

[1] On 24 March 2004, he was appointed Prime Minister (Chairman of the Government) of the Chechen Republic by President Kadyrov with approval of the legislature.

[1] On 18 November 2005, Abramov survived a near-fatal car crash in Moscow and temporarily disappeared from public view.

On 28 February 2006, he resigned as prime minister, ostensibly for health reasons but in reality to make space for Ramzan Kadyrov to be permanent prime minister.

As of November 2010[update], Abramov chaired the Directorate of Railway Terminals of Russian Railways and was managing an ambitious program of rebuilding the stations in major cities.