Articles containing proofs | Lemmas in group theory

Frattini's argument

In group theory, a branch of mathematics, Frattini's argument is an important lemma in the structure theory of finite groups. It is named after Giovanni Frattini, who used it in a paper from 1885 when defining the Frattini subgroup of a group. The argument was taken by Frattini, as he himself admits, from a paper of Alfredo Capelli dated 1884. (Wikipedia).

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Related pages

Frattini subgroup | Sylow theorems | Mathematics | Lemma (mathematics) | Nilpotent group | Group theory | Centralizer and normalizer | Finite group | Product of group subsets | Direct product of groups