Ruffini distinguished what are now called intransitive and transitive, and imprimitive and primitive groups, and (1801) uses the group of an equation under the name l'assieme delle permutazioni.
Ruffini (1799) membedakan intransitif dan transitif, dan grup imprimitif dan primitif, dan (1801) menggunakan grup dari suatu persamaan yang disebut l'assieme della permutazioni.