Tightly embedded subgroups of finite groups
β Scribed by Michael Aschbacher
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 889 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0021-8693
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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
## Introduction. 1. p-groups with Small Groups of Operators. 2. The Number of Solutions to x p s 1 in a Sylow p-subgroup of the Symmetric Group. 3. p-groups with Maximal Elementary Subgroup of Order p 2 . 4. On the Maximal Order of Subgroups of Given Exponent in a p-group. ## 5. p-groups with