Splittings of S4

被引：0

作者：

Lickorish, WBR ^{[1
]}

机构：

[1] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2004年 / 10卷

关键词：

4-manifold in the 4-sphere; group presentation; Andrews-Curtis conjecture; matrix moves;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that any two groups, with isomorpbic abelianisations and finite balanced presentations, can be achieved as the fundamental groups of the two sides of a splitting of the 4-sphere by a 3-manifold. Furthermore here the two sides have handle presentations that produce the given group presentations up to Andrews-Curtis equivalence.

引用

页码：305 / 312

页数：8

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