A Note on a Theorem in Group Theory
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摘要: 張遠達在其著名著作《有限群構造》中證明了定理4(見引言),并明確指出條件﹝G:NG(H)﹞為有限數是關鍵。本文證明了這個條件可以去掉,并得到更一般的定理。Abstract: Prof. Chang Yuanda proved Theorem 4 in his well-knownbook "Structure of Finite Groups" (in Chinese) (P.49). and pointed out that the condition that﹝G:NG(H)﹞ is finite was the key of the theorem. In this note, it is shown that the codition can be left out, and a more general theorem has been proved.
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Key words:
- group /
- conjugate /
- product of subgroups /
- admissible subgroups
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