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A self-contained guide to Frécon's theorem
Una guía autocontenida al teorema de Frécon
DOI:
https://doi.org/10.15446/recolma.v55n2.102739Keywords:
groups of finite Morley rank, bad groups (en)Grupos de rango de Morley finito, grupos malos (es)
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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.
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.
References
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