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.
In recent years, dissident republican paramilitary groups have carried out a number of attacks on PSNI officers.
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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.
Together with the Ulster Defence Association, the UFF is the largest of the loyalist paramilitary groups in Northern Ireland.
And many splinter paramilitary groups would love to take over the drug-smuggling business and the black market for petrol.
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Their get-up would normally suggest right-wing paramilitary groups, rather than the left-wing guerrillas.
It is thought that some of the profits from the operation were being used to fund paramilitary groups in Colombia.
Human rights groups also point out a troubling resurgence of successor paramilitary groups, which the government considers unorganized, criminal gangs.
Her death came as violence swept through Northern Ireland in the 1970s, with paramilitary groups targeting civilians and each other.
The paramilitary groups too are accused of working with or for drug traffickers and wealthy landowners (not necessarily different people).
It is committed to fighting the guerrillas, and accusations that the army and the paramilitary groups are in cahoots are common.
"Gladio" refers to alleged shadowy paramilitary groups accused of carrying out acts of political violence on behalf of the Turkish state.
Some of Northern Ireland's dissident republican paramilitary groups are to come together under the banner of the IRA, a statement has claimed.
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.
Iran has also provided support to paramilitary groups inside Syria - here perhaps forging useful links that could be important should the Assad government fall.
The country is torn by violence from guerrilla and paramilitary groups.
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.
Three mass killings that left 33 dead were reported in 2009 alone, and the Awa blame the Farc, paramilitary groups and the army for each of them.
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