Giovanni Frattini
Giovanni Frattini (born January 8, 1852 in Rome , † July 21, 1925 ibid) was an Italian mathematician who is best known for his contributions to group theory .
Frattini went to school in Rome and studied mathematics there from 1869 under, among others, Eugenio Beltrami and Luigi Cremona . In 1875 he received his doctorate there under Giuseppe Battaglini (1826-1894) and Beltrami. Afterwards he was a teacher at the high school (Liceo) in Caltanissetta in Sicily and from 1878 at a technical school in Viterbo . In 1881 he moved to a technical school in Rome and in 1884 he became a mathematics teacher there at a newly founded military school. Due to his work published in the 1880s, he was offered a professorship in Naples, but declined for family reasons. He also turned down the offer of a lectureship at the University of Rome in 1914, although by then he was already of an advanced age. Since the family got into a difficult financial situation, among other things due to the wounding of a son in World War I, he had to continue teaching beyond retirement age.
In the 1880s he published several essays on group theory based on the study of the work of Camille Jordan . In 1885 he introduced the Frattini subgroup as a subgroup of a group that is generated by all non- generating elements . He showed that this is nilpotent (for finite groups) .
The Frattini argument published by him originally came from his friend, Alfredo Capelli .
In addition to group theory, he also dealt with differential geometry and the number theory of binary quadratic forms.
literature
- Marta Menghini: Frattini, Giovanni. In: Fiorella Bartoccini (ed.): Dizionario Biografico degli Italiani (DBI). Volume 50: Francesco I Sforza-Gabbi. Istituto della Enciclopedia Italiana, Rome 1998, pp. 343-344.
Web links
- John J. O'Connor, Edmund F. Robertson : Giovanni Frattini. In: MacTutor History of Mathematics archive .
References
- ^ Frattini at the Mathematics Genealogy Project
- ↑ Frattini Intorno alla generazione dei gruppi di operazioni , Atti Acad. Lincei, Rend. (IV), Volume 1, 1885, pp. 281-285
- ↑ Or equivalently the intersection of all maximum subgroups
| personal data | |
|---|---|
| SURNAME | Frattini, Giovanni |
| BRIEF DESCRIPTION | Italian mathematician |
| DATE OF BIRTH | January 8, 1852 |
| PLACE OF BIRTH | Rome |
| DATE OF DEATH | July 21, 1925 |
| Place of death | Rome |