Nationality Italian Name Giovanni Frattini | Role Mathematician Fields Mathematics | |
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Born 8 January 1852
Rome, Italy ( 1852-01-08 ) Died July 21, 1925, Rome, Italy Education Sapienza University of Rome Doctoral advisor Giuseppe Battaglini, Eugenio Beltrami | ||
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Giovanni Frattini (8 January 1852 – 21 July 1925) was an Italian mathematician, noted for his contributions to group theory.
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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 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.
References
Giovanni Frattini Wikipedia(Text) CC BY-SA