Giovanni Frattini
From Wikipedia, the free encyclopedia
| Giovanni Frattini | |
|---|---|
 | |
| Born |
8 January 1852 Rome, Italy |
| Died |
21 July 1925 (aged 73) Rome, Italy |
| Nationality | Italian |
| 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.
He entered the University of Rome in 1869, where he studied mathematics with Giuseppe Battaglini, Eugenio Beltrami, and Luigi Cremona, obtaining his Ph.D. 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
Notes
- ↑ G. Frattini, Intorno alla generazione dei gruppi di operazioni, Rom. Acc. L. Rend. (4) I. 281–285, 455–457, 1885.
References
- Hall, Marshall (1959). The theory of groups. New York, N.Y.: Macmillan.
External links
- 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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