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In 2009, Mr Lieberman led Yisrael Beiteinu to third place in the parliamentary elections, displacing the Labour party.
BBC: Profile: Avigdor Lieberman
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Avigdor Lieberman, leader of the right-wing Yisrael Beiteinu party, is one of Israel's most popular and controversial politicians.
BBC: Profile: Avigdor Lieberman
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Olmert obfuscates the truth because his political stability rests in the hands of his hawkish coalition partners Yisrael Beiteinu and Shas.
CENTERFORSECURITYPOLICY: Apartheid, not peace
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In October, he and Prime Minister Benjamin Netanyahu announced that Likud and Yisrael Beiteinu would form an alliance ahead of fresh elections in January 2013.
BBC: Profile: Avigdor Lieberman
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Avigdor Lieberman, leader of the far-right Yisrael Beiteinu party, says he is opposed to the principle of "land-for-peace", on which the two-state solution is based.
BBC: Israeli election: Where they stand
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Mr Olmert, however, brought the right-wing nationalist Yisrael Beiteinu party into his coalition last autumn, which shields the government from collapse but also blocks serious pro-peace moves.
ECONOMIST: Why Israelis feel their country is suffering from a malaise
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Both Shas leader Eli Yishai and Yisrael Beiteinu leader Avigdor Lieberman dismissed Annapolis as a pathetic joke and claimed that there is no reason for them to resign from the Olmert government.
CENTERFORSECURITYPOLICY: Apartheid, not peace
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He then left Likud and founded his own party, Yisrael Beiteinu (Israel Our Home), which became popular among the one million Russian-speaking Jews who came to Israel following the collapse of the Soviet Union.
BBC: Profile: Avigdor Lieberman
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Indeed, Natan Brun argues that the majority of the Knesset (the Israeli parliament) - in the parties of Likud, Kadima and Yisrael Beiteinu - have their roots in Jabotinsky and the groupings which followed.
BBC: Jerusalem Diary: 20 April