In 1966, a loyalist paramilitary group adopted the name and symbols of the original UVF.
"The UVF should disband now, " he said in a statement to reporter Darragh MacIntyre.
The UVF traces its roots to venture capitalist Geoff Woolley , who earned his M.
FORBES: Students running a VC Fund? The University Venture Fund Says "Yes"
Ch Supt Alan McCrum said the trouble had been "orchestrated" by loyalist paramilitary group the UVF.
Sam Rocket, 22, the latest victim of the feud is understood to have had links to the UVF.
The Secretary of State will do his best - given the chance - to calm the UVF's nerves.
Ann Robb said her family had been subjected to UVF harassment since her son Andrew, 19, was killed.
BBC: NEWS | UK | Northern Ireland | UVF 'behind petrol bomb attack'
Some officials wonder whether the latest UVF moves might be a bargaining position.
Al Hutchinson said that the police had failed the families of six people murdered in the 1994 UVF attack.
BBC: Margaret Ritchie wants ombudsman Hutchinson resignation
The PUP claimed a house was attacked which was occupied by a woman whose boyfriend is an ex-UVF prisoner.
Several students began raising the seed money, and the UVF program was born.
FORBES: Students running a VC Fund? The University Venture Fund Says "Yes"
Last month Richard Jameson, the alleged leader of the Ulster Volunteer Force (UVF) in Portadown was murdered outside his home.
The supposed UVF intervention could have impacted on how the jury dealt with his failure to testify, it was contended.
No wonder the Gould family say they feel mad when they hear reports putting the former UVF leader on a pedestal.
BBC: Selective memories of Martin McGuinness and Gusty Spence
Among the men acquitted was the alleged former UVF leader Mark Haddock.
BBC: Mark Haddock UVF supergrass trial cost taxpayers ?11.5m
What did Olsen gain personally from the experience of working with UVF?
FORBES: Students running a VC Fund? The University Venture Fund Says "Yes"
Senior figures in the UVF - the deadliest loyalist group throughout the Troubles - have recently pushed for the organisation to wind up.
The organisers of the parade said the event marked the founding of the historical UVF and had nothing to do with the modern-day paramilitary group.
Thousands of people have taken part in a parade in east Belfast to mark the 100th anniversary of the foundation of the Ulster Volunteer Force (UVF).
On Tuesday, Mr Maginness had urged the PUP to sever its ties with the UVF, following the group's bitter feud with the rival Loyalist Volunteer Force.
BBC: NEWS | UK | Northern Ireland | PUP 'being pushed from politics'
Councillor Smyth was also not forthcoming on the more recent split between the veteran Spence and the UVF's Shankill Road leadership over the murder of Bobby Moffett.
BBC: Selective memories of Martin McGuinness and Gusty Spence
The self-confessed UVF members walked into Antrim police station in 2008 and admitted their involvement in the murder of leading UDA member Tommy English eight years earlier.
The decision followed the latest report from the Independent Monitoring Commission, which said the UVF and Red Hand Commando remained active, violent and involved in organised crime.
BBC: NEWS | UK | Northern Ireland | PUP 'has no influence over UVF'
Many of those UVF men joined the 36th Ulster Division of the British Army and died in large numbers during the battle of the Somme in July 1916.
"There has been dialogue taking place between the UDA and the UVF but it hasn't actually resulted in an actual truce, " he told BBC Radio Ulster on Wednesday.
But others, including a UVF spokesman who talked to Darragh MacIntyre, said there was potential for more militant elements to gain the upper hand within the paramilitary group.
Gusty Spence, who organised the UVF in the 1960s, made the call in the wake of the murder of Bobby Moffett, shot dead by UVF members in May.
Sam Rocket, 22, who had close links with the UVF, was shot dead at his girlfriend's house on the following Wednesday night in reprisal for their double murder.
He said it was his understanding that 600 UVF 1913 and union flags had been ordered to be erected on lampposts in east Belfast ahead of next weekend's parade.
The programme, broadcast on Tuesday, shows how the Moffett murder and a high-level police investigation have brought the UVF to a critical juncture between disbandment and further violence.
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