Giovanni Frattini
Giovanni Frattini | |
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| Born | 8 January 1852 |
| Died | 21 July 1925 (aged 73) Rome, Italy |
| Nationality | Italian |
| Alma mater | Sapienza University of Rome |
| Known for | Frattini subgroup Frattini's argument |
| Awards | ICM Speaker (1908) |
| 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 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]
Notes
[edit]- ^ 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
[edit]- 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
[edit]- 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
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