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Profinitely closed subgroups of soluble groups of finite rank

✍ Scribed by Dieter Kilsch

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
565 KB
Volume
70
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

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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

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In this paper we prove the following theorem: THEOREM 1.5. Let G be an infinite, simple, K \*-group of finite Morley rank with a strongly embedded subgroup M. Assume that the Sylow 2-subgroups of G ha¨e infinitely many commuting in¨olutions. Then M is sol¨able. Ž . If, in addition, G is tame, then