The association name was inspired by a tv report titled "I giardini di Abele"/"The gardens of Abel", dealing with the first asylums being dismantled in Gorizia. Feeling particularly close to the cause and responsible for those who are marginalised, Gruppo Abele decided to "reverse" Cain's indifferent and selfish attitude (Genesis 4, 1-16), which "still is the foundation of almost every human relationship in a society that promotes individualism and self-interests".