Groups containing a strongly embedded subgroup
β Scribed by D. V. Lytkina; V. D. Mazurov
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 203 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0002-5232
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π SIMILAR VOLUMES
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
Let H be a strongly reductive subgroup of a reductive linear algebraic group G over an algebraically closed field k. We prove that any closed normal subgroup N of H is also a strongly reductive subgroup of G. If G = GL n (k) then this is a consequence of Clifford's Theorem from representation theory