Iran has hanged a man who was sentenced to death for the 2010 killing of a nuclear physicist, state TV reported Tuesday.
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The League's ministerial committee on the Syrian crisis also urged Damascus to "take the necessary measures" to protect civilians.
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The call came as at least 37 protesters were killed in Syria, activists said.
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The deaths took place mostly in Homs and Hama as protesters called for a no-fly-zone to be imposed, activists said.
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More than 3,000 people have died in the unrest since protests broke out in March.
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The government of President Bashar al-Assad says the unrest is being stoked by armed gangs and foreign extremists looking to stir up sectarian strife.
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Foreign journalists have been largely prevented from reporting from the country, making it difficult to confirm events on the ground.
'Frank talks'
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The Arab League's committee on Syria issued its statement on Friday.
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It said that the committee would meet Syrian officials on Sunday in Qatar to try to reach "serious results" on a way to end the crisis.
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The ministers also said that they had held "frank and friendly" talks with President Assad on Wednesday.
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Earlier on Friday, protesters in Syria called for international protection from Nato whose war planes played a vital role in the overthrow of former Libyan leader Muammar Gaddafi.
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"God, Syria, we want a no-fly zone over it," protesters shouted in the Bab Tadmur neighbourhood of Homs, while others carried banners demanding international protection, Reuters reports.
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In the restive Balaa neighbourhood, around 20,000 people marched calling for the fall of President Assad's regime, Agence France-Presse reports, quoting the London-based Syrian Observatory for Human Rights.
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An armed insurgency has emerged over the past few weeks around the city, home to one million people and some 140km (85 miles) north of Damascus, the news agency reports.
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Dozens of young protesters marched in Damascus' Barzeh neighbourhood, the Observatory said, adding that 40 were arrested.
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Internet and communications services were reportedly disrupted in parts of the capital, as well as in Homs.
• Writer:bbc