Giovanni Frattini
Appearance
Giovanni Frattini | |
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Born | Rome, Italy | 8 January 1852
Died | 21 July 1925 Rome, Italy | (aged 73)
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]
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.
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