【摘要】 通过引进 π１ （ Ｘ，ｘ０ ） 的同态 ｆπ 的不动子群 Ｆｉｘｆπ，在 Ｈ ＝ Ｆｉｘｆπ ·ｋｅｒｆ π为π１ （ Ｘ，ｘ０ ） 的正规子群时定义了不动点大类，得到不动点大类数是有限的．在曲面 Ｘ的正则复迭空间 Ｘ Ｈ 为有限叶时只要姜子 群相对于 Ｈ 极大，ｆ 的 Ｎｉｅｌｓｅｎ 数就可以用一维同调群计算更多还原

【Abstract】 By using the fixed subgroup Fixf π of f π, the homomorphism on π 1(X,x 0), and that the subgrup H=Fixf π· Ker f π of π 1(X,x 0) is regular subgroup, the fixed point large class is definied. That the number of fixed point large classes is finite is obtained. The Nielsen number is calculated by 1-homolgy group, if the regular covering space H of the surface X is finstely covered, and Jiang subgroup relative subgroup H is greatest. 更多还原