A man extradited from Sydney over the suspected murder in Victoria of a woman, whose body was found in a burnt-out tent, previously ran a vigilante crime-fighting group in Geelong.

Nick Cross, 31, of no fixed address, was arrested alongside two others during a dramatic police operation late on Thursday over the death of Maddison Parrott in a tent fire at the Geelong showgrounds.

Geelong woman Maddison Parrott was killed this week.

Acting on information from Victoria Police, NSW Police’s homicide squad, assisted by the tactical operations unit, arrested two men and a woman in the western suburb of Greystanes about 3.45pm on Thursday.

Mr Cross is charged with one count of murder.