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Caracterización de resolubilidad en términos de cocientes y subgrupos normales

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Uploaded by on Jan 11, 2012

Sea G un grupo finito y N un subgrupo normal de G. Demostramos que G es resoluble si y solo si N y el cociente de G por N son resolubles. Este teorema se utiliza para demostrar que una ecuación polinómica es resoluble por radicales si y solo si su grupo de Galois es resoluble.

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