More arrests have now been reported including two Taliban "shadow governors" who reported to Mullah Baradar.
Mullah Abdul Salam Zaeef was arrested Thursday by Pakistani intelligence officials, his secretary said.
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Mullah Mairbek Yusupov is a small bearded man dressed in a green surgeon-style top and skull-cap.
Analysts say Mullah Nazir has formed an alliance with the government and opposes the Pakistani Taliban.
The coach Mullah Abduallah Yousef has spent months picking the best players, but it has been tough.
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The newly-installed interim Afghan government has said that Mullah Omar should be arrested and put on trial.
Nonetheless, every decade or two, the British faced a major tribal revolt, typically led by a charismatic mullah.
Mullah Mohammad Omar, the leader of the movement, lives in Kandahar, in south Afghanistan, the de facto capital.
Mr Karzai has often said he is willing to sit down with the Taliban's supremo, Mullah Mohammad Omar.
They are querying him about the location of Taliban leader Mullah Mohammed Omar, an intelligence official in Kabul said.
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Mullah is the second defendant to be found guilty by the special tribunal.
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Local residents were quoted as saying that they had heard on mosque loudspeakers announcements that Mullah Nazir was dead.
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As France treats with Iran on Lebanon, the US follows a similar course of engaging the mullah on Iraq.
Reports say Mullah Nazir's deputy, Ratta Khan, was also killed in the attack.
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The BBC's Ilyas Khan, in Islamabad, says Mullah Baradar has also been close to the Pakistani intelligence service, the ISI.
Reports from Kandahar last month speculated that Mullah Baradar would soon be arrested because of growing tensions with Mullah Omar.
For years, the Afghan Taliban leader, Mullah Omar, has been issuing safe-conduct letters to WHO-sponsored polio-vaccination teams operating in insurgent areas.
The investigation found evidence that Mullah Sadiq, a known Taliban commander, was among the militants who were killed, the coalition said.
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According to Interpol, Mullah Baradar was born in Weetmak village in Dehrawood district, in the Uruzgan province of Afghanistan, in 1968.
Tawheedi said the commander of government forces on the scene, Mullah Shir Gul, was interrogating Wahid about the whereabouts of Omar.
But Mullah Nazir's focus was not solely on balancing the enmities and loyalties of the various militant networks in the region.
Their warrior mullahs included Mullah Powindah, an Afghan-backed Mehsud, who in 1894 led an attack on the British team demarcating the frontier.
The killing of Taliban commander Mullah Nazir in a drone strike comes at a time of important changes in the Afghanistan-Pakistan region.
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Abdul Kader Mullah, 64, the assistant secretary general of the Jamaat-e-Islami, was found guilty of five out of six charges, including murder.
Obviously the Pakistani government has confirmed that Mullah Baradar is in custody.
Mullah Turabi is from southern Afghanistan's Uruzgan province, as is Mullah Omar.
The group also demanded the release of the former Taliban ambassador to Pakistan, Mullah Salam Zaeef, now in U.S. custody, this source said.
Pakistan denies the allegation, and Mr. Bashir said the country does not know if Mullah Omar and other Taliban leaders are in Pakistan.
The capture of Mullah Baradar, second in the Taliban hierarchy only to the movement's founder, Mullah Mohammed Omar, removes the insurgency's military commander.
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