The universal torsion-free image of a group

被引：5

作者：

Brodsky, SD ^{[1
]}

Howie, J ^{[1
]}

机构：

[1] HERIOT WATT UNIV,DEPT MATH,EDINBURGH EH14 4AS,MIDLOTHIAN,SCOTLAND

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1997年 / 98卷 / 1期

关键词：

Free Product; Homomorphic Image; Finite Index; Klein Bottle; Terminal Vertex;

D O I：

10.1007/BF02937335

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the universal torsion free homomorphic image of any group given by a sufficiently 'small' presentation is locally indicable, and give an application to a conjecture of Levin about equations over torsion free groups.

引用

页码：209 / 228

页数：20

共 10 条

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CONDER, M
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[7] ON LOCALLY INDICABLE GROUPS
HOWIE, J
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[9] SOLUTIONS OF EQUATIONS OVER GROUPS
LEVIN, F
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1962, 68 (06) : 603 - &
[10] MILNOR J, 1975, ANN MATH STUD, V84, P175

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