Giovanni Frattini

Giovanni Frattini ( born January 8, 1852 in Rome, † July 21, 1925 ) was an Italian mathematician who is best known for his contributions to group theory.

Frattini in Rome went to school and studied there from 1869 Mathematics among others, Eugenio Beltrami and Luigi Cremona. In 1875, he was there his doctorate under Giuseppe Battaglini ( 1826 to 1894 ) and Beltrami. After that, he was a teacher at the high school ( Liceo ) in Caltanissetta, 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 at a military school newly founded. Because of his published works in the 1880s, he was appointed as professor to Naples, but declined for family reasons. Even the offer of a lectureship at the University of Rome in 1914 he struck out, he was then, however, already at an advanced age. Since the family was in a difficult financial situation, among others, by the wounding of a son in World War I, he had to teach beyond retirement age.

In the 1880s he published, starting from the study of the works of Camille Jordan, several papers on group theory. In 1885, he led while the Frattini subgroup as a subgroup of a group that is generated by all non -producing elements, a. He showed that these (for finite groups ) is nilpotent.

Published by him Frattini argument originally came from the friends of his Alfredo Capelli.

In addition to group theory, he also dealt with differential geometry and number theory of binary quadratic forms.