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算术型8字纽结群及两桥型链环群中两个生成元是抛物元素
引用本文:赵利彬,李长军,孙立杰.算术型8字纽结群及两桥型链环群中两个生成元是抛物元素[J].闽江学院学报,2013,34(2):4-7.
作者姓名:赵利彬  李长军  孙立杰
作者单位:1. 闽江学院数学系,福建福州,350121
2. 中国海洋大学数学科学学院,山东青岛,266100
摘    要:对于8字纽结群或两桥型链环群,如果两个生成元的迹之和为零,则这两个元素必然是抛物元素.

关 键 词:生成元  8字纽结群  两桥型链环群  抛物元素

In the figure 8 arithmetic groups and two-bridge link groups two generating elements are parabolic element
ZHAO Li-bin , LI Chang-jun , SUN Li-jie.In the figure 8 arithmetic groups and two-bridge link groups two generating elements are parabolic element[J].Journal of Minjiang University,2013,34(2):4-7.
Authors:ZHAO Li-bin  LI Chang-jun  SUN Li-jie
Institution:1. Department of Mathematics, Minjiang University, Fuzhou, Fufian 350121, China; 2. School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong, 266100, China)
Abstract:If two elements, the plus of whose traces is zero, generate an arithmetic figure-eigure knot group or two-bridge link group, then the elements are parabolic element.
Keywords:generator  figure-eight knot group  two-bridge link group  parabolic element
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