模H-Nielsen数(2)

雷呈凤. 模H-Nielsen数(2)[J]. 南昌航空大学学报(自然科学版), 1999, 13(2): 45-48.

引用本文:

雷呈凤. 模H-Nielsen数(2)[J]. 南昌航空大学学报(自然科学版), 1999, 13(2): 45-48.

LEI Cheng-feng. The Number of Modular H-Nielsen(2)[J]. Journal of nanchang hangkong university(Natural science edition), 1999, 13(2): 45-48.

Citation:

LEI Cheng-feng. The Number of Modular H-Nielsen(2)[J]. Journal of nanchang hangkong university(Natural science edition), 1999, 13(2): 45-48.

The Number of Modular H-Nielsen(2)

摘要: 通过研究自映射f在π₁(X,x₀)上的作用f_π,发现只要适当地选取π₁(X,x₀)中子群H(f_π,π₁)作为正则复迭空间的子群,得到模H-Nielsen数等于Nielsen数的结果,从而简化了用模H-Nielsen数计算Nielsen数的过程.

Abstract: We have studied fπ₁(X,x₀),the self-homomorphism of π₁(X,x₀) led by self-mapping,the number of modular H-Nielsen is equal to Nielsen's number,if the normal covering space is led by H(f_π,π₁),the proper sepect subgr oup of π₁(X,x₀),and the process of calculate Nielsen's number with the number of modular H-Nielsen is shortened.

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