FREIHEITSSATZE FOR ONE-RELATOR QUOTIENTS OF SURFACE GROUPS AND OF LIMIT GROUPS

被引：3

作者：

Howie, James ^{[1
]}

Saeed, Muhammad Sarwar

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2009年 / 60卷 / 03期

关键词：

ELEMENTARY THEORY; THEOREM; EQUATIONS;

D O I：

10.1093/qmath/han015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Three versions of the Freiheitssatz are proved in the context of one-relator quotients of limit groups, where the latter are equipped with 1-acylindrical splittings over cyclic subgroups. These are natural extensions of previously published corresponding statements for one-relator quotients of orientable surface groups. Two of the proofs are new even in that restricted context.

引用

页码：313 / 325

页数：13

共 24 条

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