有限階数群の単純部分群
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概要
- 論文の詳細を見る
"Find a group with a simple subgroup S such that the definable hull of S is also simple." This problem natu- rally arises from a comparison with the following well known result : the definable hull of a solvable(resp.nilpotent) subgroup of a stable group is also solvable (resp. nilpotent). The theorem below gives usan answer to the problem.Theorem Let S be a simple subgroup of a finite Morley rank group G. Then there exists a normal subgroupNs of the definable hull d(S) ofS such that.SN_S/N_S and S are isomorphic as groups, and.d (SN_S/N_s) (= d(S)/N_s) is simple.
- 福島工業高等専門学校の論文