The investigation into the alleged attacks stretched wider than London. Yassin Omar travelled to Birmingham by coach and was arrested in the Small Heath area on 27 July.
Hussain Osman took the Eurostar train from London to Paris before travelling on to Rome, where was arrested on 29 July and flown back to the UK in September to face charges.
Adel Yahya was arrested after he arrived at Gatwick Airport on a flight from Addis Ababa, Ethiopia, on 19 December.
The prosecution says Mr Omar, Mr Yahya and Mr Ibrahim had attended Finsbury Park Mosque in north London to listen to radical cleric Abu Hamza. The three, together with Mr Asiedu and Mr Osman, had also been among a group of 20 or more people on a camping trip to a farm in Cumbria in 2004.