Decompositions of fundamental groups of closed surfaces into free constructions

被引：0

作者：

Bogopolski, O ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math, Novosibirsk 630090, Russia

来源：

GEOMETRIAE DEDICATA | 2002年 / 94卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

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

D O I：

10.1023/A:1020964811554

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be a closed surface. It is proven that any decomposition of pi(1)(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：27

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