Locally (Soluble-by-Finite) Groups of Fi
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Martyn R. Dixon; Martin J. Evans; Howard Smith
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Article
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1996
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Elsevier Science
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English
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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