Giovanni Frattini

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Template:Short description Script error: No such module "Template wrapper".Script error: No such module "Check for clobbered parameters". 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 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]

Besides group theory, he also studied differential geometry and the analysis of second degree indeterminates. [2]

Notes

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  1. Script error: No such module "Citation/CS1". (original paper available at Emeroteca Braidense)
  2. Emaldi, Maurizio, Giovanni Frattini 1852–1925, Irish Math. Soc. Bull. No. 23 (1989), 57–61.

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References

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  • Emaldi, M.; Zacher, G., Giovanni Frattini (1852–1925), matematico (in italian), Advances in group theory 2002, 191–207, Aracne, Rome, 2003.

External links

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