Decompositions of Fundamental Groups of Closed Surfaces into Free Constructions

被引：0

作者：

Oleg Bogopolski

机构：

[1] Institut of Mathematics,

来源：

Geometriae Dedicata | 2002年 / 94卷

关键词：

surface; fundamental group; amalgamated product; HNN-extension; geometric decomposition; edge rigidity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let T be a closed surface. It is proven that any decomposition of π1(T,x) into an amalgamated product (or, more generally, into the fundamental group of a finite graph of groups) with f.g. edge group(s) is almost geometric. A problem of H. Zieschang is solved and the edge rigidity property is investigated.

引用

页码：63 / 89

页数：26

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