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Sylow theory for groups of finite Morley rank

✍ Scribed by A. V. Borovik

Publisher: SP MAIK Nauka/Interperiodica
Year: 1990
Tongue: English
Weight: 437 KB
Volume: 30
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00970907

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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