Relative convexity of subgroups of finite rank
β Scribed by N. Ya. Medvedev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1989
- Tongue
- English
- Weight
- 234 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
A sufficient condition is obtained for the residual torsion-free nilpotence of certain finitely presented metabelian groups that arise from a matrix representa-Ε½ . tion developed by Magnus 1939, Ann. of Math. 40, 764α768 for metabelian Ε½ groups. Using this condition and a construction due to Baumsla
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