Giovanni Frattini

From Wikipedia, the free encyclopedia
Jump to: navigation, search
Giovanni Frattini
Giovanni Frattini.jpg
Born (1852-01-08)8 January 1852
Rome, Italy
Died 21 July 1925(1925-07-21) (aged 73)
Rome, Italy
Nationality Italian
Scientific career
Fields Mathematics
Doctoral advisor Giuseppe Battaglini
Eugenio Beltrami

Giovanni Frattini (8 January 1852 – 21 July 1925) was an Italian mathematician, noted for his contributions to group theory.

Biography[edit]

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 Φ(G) generated by all the non-generators of the group G. He showed that Φ(G) is nilpotent and, in so doing, developed a method of proof known today as Frattini's argument.[1]

See also[edit]

Notes[edit]

  1. ^ G. Frattini, Intorno alla generazione dei gruppi di operazioni, Rom. Acc. L. Rend. (4) I. 281–285, 455–457, 1885.

References[edit]

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

External links[edit]