In mathematics, the O'Nan–Scott theorem is one of the most influential theorems of permutation group theory; the classification of finite simple groups...

the O'Nan group after O'Nan. The O'Nan–Scott theorem in group theory is also named after O'Nan, who discovered it independently from Leonard Scott. It...

subgroups are more difficult to identify, but with the assistance of the O'Nan–Scott theorem and the classification of finite simple groups, (Liebeck, Praeger...

conjecture Frobenius's conjecture on the number of solutions of xn = 1. O'Nan–Scott theorem The infinite family of Ree groups of type 2F4(22n+1) contains only...

theory. In finite groups, post classification results included the O'Nan–Scott theorem, the Aschbacher classification, the classification of multiply transitive...

contains a complete self-contained proof of the theorem. Praeger later went on to generalise the O'Nan–Scott Theorem to quasiprimitive groups. Praeger introduced...

Cayley's theorem Cycle index Frobenius group Galois group of a polynomial Jucys–Murphy element Landau's function Oligomorphic group O'Nan–Scott theorem Parker...

every n > 2. Block (permutation group theory) Jordan's theorem (symmetric group) O'Nan–Scott theorem, a classification of finite primitive groups into various...

Praeger gave a relatively simple and self-contained proof of the O'Nan–Scott theorem. It had long been known that every maximal subgroup of a symmetric...

Society, 2019 London Mathematical Society (LMS) Pólya Prize in 2020 O'Nan–Scott theorem Rank 3 permutation group Personal Profile of Prof. Martin Liebeck...