Mr Barghouti is wanted for allegedly heading paramilitary groups, according to Israeli public radio.
An estimated number of 2, 500 to 3, 600 have joined "second-generation" paramilitary groups, with purely criminal motivations.
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Even more importantly, the major paramilitary groups have signed up to a peace agreement.
They discussed how to stop the recruitment of children by armies, paramilitary groups and civil-defence bodies.
Officials say that at some stage they will indeed have to sit down with the paramilitary groups.
The Colombian state is tackling paramilitary groups and will persevere in this campaign to combat such groups.
The vexed question of the disarmament of paramilitary groups, known as decommissioning, still has to be resolved.
This time, the main paramilitary groups are on ceasefire and are signed up to the Good Friday agreement.
President Andres Pastrana has just pushed into retirement two generals repeatedly accused of collaboration with illegal paramilitary groups.
It is thought that some of the profits from the operation were being used to fund paramilitary groups in Colombia.
If Colombian and American officials do not have the courage to expose the paramilitary groups for what they are, the future is bleak.
The formation of such paramilitary groups was stepped up across Indonesia late last year, ostensibly to stem the rapid spread of violence and rioting.
The American State Department has in the past made allegations linking Mr Carranza both to the now battered Cali mob and to paramilitary groups.
In recent weeks, an alliance of paramilitary groups has threatened to strike deep into rebel strongholds in the south and east of the country.
The groups include the Basque separatist organisation ETA, Irish Republican Army dissidents and loyalist paramilitary groups from Northern Ireland, and the Greek far-left group November 17.
While most of the main paramilitary groups have destroyed their weapons or at least begun the process, the INLA has not decommissioned any of its arms.
And after 2004 it would be even harder to prove because of the shadowy nature of different paramilitary groups operating in the east of Sri Lanka.
He said senior members of loyalist paramilitary groups working at local level were orchestrating violence but said that the leadership of those organisations may not be involved.
Meanwhile, a clergyman has said people on Belfast's Shankill Road are fearful following an outbreak of violence between rival loyalist paramilitary groups in the north of the city.
On Wednesday, most of the community groups based on the Shankill Road issued a statement calling on the paramilitary groups to find another way of resolving their differences.
They were appointed to liaise with the commission on Wednesday, in a move which meant that all the main paramilitary groups have now committed to talks about arms decommissioning.
Tuesday's statement added that the three paramilitary groups were taking part in a Community Safety Group which included participation of both the churches and community groups in the area.
But the real confrontation between the Supreme Court and the government of Mr. Uribe began when the Court started to investigate the ties between politicians and the paramilitary groups.
The Foreign Minister of Colombia, Maria Consuela Araujo, has resigned after her brother was accused of conspiring with paramilitary groups, among them the United Self-Defense Forces of Colombia (AUC).
In addition, despite Yugoslavia's announcement that it was declaring a cease-fire in Kosovo, NATO said Serb Army and paramilitary groups were continuing to attack the Kosovo Liberation Army in western Kosovo.
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When Northern Ireland Secretary Peter Mandelson ordered Adair's re-arrest, he said the peace process could have been derailed if the feud between rival loyalist paramilitary groups had spread to Catholic areas.
Mr Sharon said that Hamas and Islamic Jihad must cease to exist as paramilitary groups if the ceasefire is to have a chance of taking hold and evolving into a peace process.
While there's growing consensus about the need to deal with flags carrying the symbols of illegal paramilitary groups, the flying of national flags remains - as the Belfast council dispute illustrates - difficult terrain.
Johnny Adair, the leader of a prominent faction, was sent back to prison for violating the terms of his release, which resulted from an amnesty for paramilitary groups in the Good Friday peace agreement.
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