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：
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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.
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页码：63 / 89
页数：26
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