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.
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页码：63 / 89
页数：27
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