Giovanni Frattini
Giovanni Frattini | |
|---|---|
 | |
| Born | 8 January 1852 Rome, Italy |
| Died | 21 July 1925 (aged 73) Rome, Italy |
| Nationality | Italian |
| Alma mater | Sapienza University of Rome |
| 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[]
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 generated by all the non-generators of the group . He showed that is nilpotent and, in so doing, developed a method of proof known today as Frattini's argument.[1]
Besides group theory, he also studied differential geometry and the analysis of second degree indeterminates. [2]
See also[]
Notes[]
- ^ Frattini, Giovanni (1885). "Intorno alla generazione dei gruppi di operazioni (english translation)" (PDF). Accademia dei Lincei, Rendiconti. (4). I: 281–285, 455–457. JFM 17.0097.01. (original paper available at Emeroteca Braidense)
- ^ Emaldi, Maurizio, Giovanni Frattini 1852–1925, Irish Math. Soc. Bull. No. 23 (1989), 57–61.
References[]
- Hall, Marshall (1959). The theory of groups. New York, N.Y.: Macmillan.
- Emaldi, M.; Zacher, G., Giovanni Frattini (1852–1925), matematico (in italian), Advances in group theory 2002, 191–207, Aracne, Rome, 2003.
External links[]
Categories:
- 1852 births
- 1925 deaths
- Scientists from Rome
- 19th-century Italian mathematicians
- 20th-century Italian mathematicians
- Group theorists
- Sapienza University of Rome alumni