A Note on a Theorem in Group Theory

Zhou Zhengping

doi:10.13374/j.issn1001-053x.1989.02.033

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Zhou Zhengping. A Note on a Theorem in Group Theory[J]. Chinese Journal of Engineering, 1989, 11(2): 184-186. doi: 10.13374/j.issn1001-053x.1989.02.033

Citation:

Zhou Zhengping. A Note on a Theorem in Group Theory[J]. Chinese Journal of Engineering, 1989, 11(2): 184-186. doi: 10.13374/j.issn1001-053x.1989.02.033

Zhou Zhengping. A Note on a Theorem in Group Theory[J]. Chinese Journal of Engineering, 1989, 11(2): 184-186. doi: 10.13374/j.issn1001-053x.1989.02.033

Citation:

Zhou Zhengping. A Note on a Theorem in Group Theory[J]. Chinese Journal of Engineering, 1989, 11(2): 184-186. doi: 10.13374/j.issn1001-053x.1989.02.033

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A Note on a Theorem in Group Theory

doi: 10.13374/j.issn1001-053x.1989.02.033

Zhou Zhengping

Received Date: 1998-05-01
Available Online: 2021-11-15

Abstract

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:N_G(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.
- group,
- conjugate,
- product of subgroups,
- admissible subgroups