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组合群论中的一个定理
引用本文:何伯和. 组合群论中的一个定理[J]. 东北数学, 2000, 16(3): 373-378
作者姓名:何伯和
作者单位:Department of Mathematics,Jilin University,Changchun,130023
基金项目:The NSF (19971024) of China.
摘    要:Let F= F(X) be a free group of rand n, A be a finite subset of F(X) and x∈X be a generator. The theorem states that x can be denoted as a rotation-inserting word of A if x is in the normal closure of A in F(X). Finally, an application of the theorem in Heegaard splitting of 3manifolds is given.

关 键 词:组合群论  Heegaard分裂  旋转插入字  半群

A Theorem on Combinatorial Group Theory
HE Bai-he. A Theorem on Combinatorial Group Theory[J]. Northeastern Mathematical Journal, 2000, 16(3): 373-378
Authors:HE Bai-he
Affiliation:DepartmentofMathematics,JilinUniversity,Changchun,130023
Abstract:
Keywords:rotation-inserting word   Heegaard splitting  
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