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Groups containing a strongly embedded subgroup

✍ 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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πŸ“œ SIMILAR VOLUMES


Groups of Finite Morley Rank with Strong
✍ Tuna Altinel πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 295 KB

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

A normal subgroup of a strongly reductiv
✍ Benjamin M.S. Martin πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 78 KB

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

S-embedded subgroups of finite groups
✍ Wenbin Guo; Yi Lu; Wenjuan Niu πŸ“‚ Article πŸ“… 2010 πŸ› Springer US 🌐 English βš– 352 KB