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A splitting theorem for groups acting on quasi-trees

 

作者: Michael Batty,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 2  

页码: 967-980

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826873

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: 20E08

 

数据来源: Taylor

 

摘要:

It is well known that a group is free if and only if it acts freely without inversions on a tree. We prove a generalisation of this fact by defining a quasi-tree to be a graph with a bound on the size of its simple loops. It is shown that a finitely generated group acting freely on such a graph is isomorphic to a free product of free groups and finite groups.

 

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