Giovanni Frattini

Frattini entered the University of Rome in 1869, where he studied mathematics with Giuseppe Battaglini, Eugenio Beltrami, and Luigi Cremona, obtaining his Laurea in 1875.

In 1885 he published a paper where he defined a certain subgroup of a finite group. This subgroup, now known as the Frattini subgroup, is the subgroup ${\displaystyle \Phi (G)}$ generated by all the non-generators of the group ${\displaystyle G}$. He showed that ${\displaystyle \Phi (G)}$ is nilpotent and, in so doing, developed a method of proof known today as Frattini's argument.[1]

• Fitting subgroup
• Frattini subgroup

• Hall, Marshall (1959). The theory of groups. New York, N.Y.: Macmillan.

• O'Connor, John J.; Robertson, Edmund F., "Giovanni Frattini", MacTutor History of Mathematics archive, University of St Andrews.
• Giovanni Frattini at the Mathematics Genealogy Project