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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.55 no.2 Bogotá July/Dec. 2021 Epub May 31, 2022
https://doi.org/10.15446/recolma.v55n2.102739
ORIGINAL ARTICLES
A self-contained guide to Frécon's theorem
Una guía autocontenida al teorema de Frécon
1Universidad de los Andes, Bogotá, Colombia
2Sorbonne Université and Université de Paris, CNRS, Paris, France
A streamlined exposition of Frécon's theorem on non-existence of bad groups of Morley rank 3. Systematising ideas by Poizat and Wagner, we avoid incidence geometries and use group actions instead; the proof becomes short and completely elementary.
Keywords: groups of finite Morley rank; bad groups
Presentamos una breve demostración depurada del teorema de Frécon sobre la no existencia de grupos malos de rango de Morley 3. Abstrayendo ideas de Poizat y Wagner, evitamos el uso de las geometrías de incidencia. En su lugar usamos acciones de grupos; así la demostración se torna verdaderamente elemental y concisa.
Palabras clave: Grupos de rango de Morley finito; grupos malos
REFERENCES
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Received: November 01, 2021; Accepted: December 14, 2021
This is an open-access article distributed under the terms of the Creative Commons Attribution License
