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F-reducers in finite soluble groups

✍ Scribed by C.J Graddon

Publisher: Elsevier Science
Year: 1971
Tongue: English
Weight: 762 KB
Volume: 18
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(71)90140-2

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But P l B s rad P and so L ( Prrad P. It remains to show that P F L . 1 2 If Q is a maximal normal subgroup of P then, since P is perfect, PrQ is isomorphic to a simple direct factor of L and hence has order greater 1 than s. With the notation as in Lemma 2.2, we have PE rE ( PrP l E , 2 2 2 which t