Brauer–Suzuki–Wall theorem

# Theorems about finite groups

Chevalley–Shephard–Todd theorem

Sylow theorems

Alperin–Brauer–Gorenstein theorem

In mathematics, the Alperin–Brauer–Gorenstein theorem characterizes the finite simple groups with quasidihedral or wreathed[1] Sylow 2-subgroups. These are isomorphic either to three-dimensional projective special linear groups or projective special unitary groups over a finite field of odd order, depending on a certain congruence, or to the Mathieu group

{displaystyle M_{11}}

. Alperin, Brauer & Gorenstein (1970) proved this in the course of 261 pages. The subdivision by 2-fusion is sketched there, given as an exercise in Gorenstein (1968, Ch. 7), and presented in some detail in Kwon et al. (1980).

Feit–Thompson theorem

Feit–Thompson theorem In mathematics, the Feit–Thompson theorem, or odd order theorem, states…

Ver teoremaCauchy's theorem (group theory)

Cauchy's theorem (group theory) For other theorems attributed to Augustin-Louis Cauchy, see…

Ver teoremaCayley's theorem

Cayley's theorem For the number of labeled trees in graph theory, see…

Ver teoremaBurnside's theorem

Burnside's theorem For the counting result sometimes called "Burnside's theorem", see Burnside's…

Ver teoremaL-balance theorem

L-balance theorem In mathematical finite group theory, the L-balance theorem was proved…

Ver teoremaBrauer–Suzuki theorem

Brauer–Suzuki theorem In mathematics, the Brauer–Suzuki theorem, proved by Brauer & Suzuki…

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