邻近纽结间的行列式  

Determinant between adjacent knots

作　　者：陶志雄[1] TAO Zhixiong(School of Sciences,Zhejiang University of Science and Technology,Hangzhou 310023,Zhejiang,China)

机构地区：[1]浙江科技学院理学院

出　　处：《浙江科技学院学报》2019年第6期433-435,共3页Journal of Zhejiang University of Science and Technology

摘　　要：研究了如果d是det(K)、det(L)的最大公因子时,方程x^2=-1在Z^*det(K)/d有解的条件。证明了若K和L的邻近性可以通过分别改变K的一个正交叉或者负交叉来实现,则在Z^*det(K)/d、Z^*det(L)/d中,该方程都有解。This paper focused on the solvability condition for the equation x^2=-1 in Z^*det(K)/d,when d being the greatest common factor of det(K)and det(L).It proves that the equation is solvable in both Z^*det(K)/d and Z^*det(L)/d,if the adjacency of K and L can be realized by changing a positive crossing or negative crossing of K respectively.

关 键 词：纽结 行列式 邻近 号差 乘法群 

分 类 号：O189.24[理学—数学]