Abedi's family has lived in the Fallowfield area of south Manchester for at least 10 years, according to The Daily Telegraph newspaper.
Abedi's father and younger brother were arrested in Tripoli in Libya, where the family originally come from. Abedi's father is alleged to be a former member of an Al-Qaeda-backed Libyan Islamic Fighter Group.
The Daesh terror organization has reportedly claimed responsibility for the terror attack.
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The more prominent security presence in London will include armed officers who are supporting what the police call Project Servator.
Officials are examining Salman Abedi's trips to Libya and possibly Syria as they piece together his allegiances and try to foil any new potential threats. CNN said British police have temporarily restricted the release of information.
Rudd also expressed her displeasure at United States officials for leaking information on the perpetrator to the media as the investigation was still unfolding.More news: LEADING OFF: Jeter's day at Yankee Stadium, and Mother's Day
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But Hashem Abedi had been in touch with attacker Salman Abedi, Bin Salem said, and was suspected of planning to carry out an attack in the Libyan capital.
But further details have emerged about the UK-born bomber's radicalisation, and the warnings that were sounded, which will raise questions about why he was not more closely monitored.
"Due to the tragic events in Manchester, the Dangerous Woman Tour with Ariana Grande has been suspended until we can further assess the situation and pay our proper respects to those lost", Grande's team said in a new statement to Entertainment Weekly.
British authorities did not say that the investigation had in fact been compromised by the leaks. Officials say 20 of them are being treated for critical injuries.
"There is damage to major organs, major injuries in terms of limbs and some of these individuals are going to need very long-term care and support", Jon Rouse, chief officer for health and social care services in the Greater Manchester area, told the British broadcaster Sky News.
"Focusing on counter terrorism is not just about the military defeat of terrorists but addressing the root causes of terrorism and the propagation of poisonous ideology particularly online", the official said. London Police Commander Jane Connors said the goal is to "make our city as hostile an environment as possible for terrorists to plan and operate".
Collomb, who spoke with May after the attack, said the two countries should continue cooperating closely on counterterrorism efforts despite Britain's pending exit from the European Union.