This article is available for purchase or by subscription. See below.
Abstract
|
|
In geometric group theory one uses group actions on spaces to gain information
about groups. One natural space to use is the Cayley graph of a group. The Cayley
graph arguments that one encounters tend to require local finiteness, and hence finite
generation of the group. In this paper, I take the theory of intersection numbers of
splittings of finitely generated groups (as developed by Scott, Swarup, Niblo and
Sageev), and rework it to remove finite generation assumptions. I show that when
working with splittings, instead of using the Cayley graph, one can use Bass–Serre
trees.
|
PDF Access Denied
Warning:
We have not been able to recognize your IP address 47.88.87.18
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org or by using our contact form.
Or, you may purchase this single article for USD 29.95:
Keywords
splitting, intersection number
|
Mathematical Subject Classification 2010
Primary: 20E08, 20F65
|
Publication
Received: 27 May 2011
Revised: 14 October 2011
Accepted: 12 December 2011
Published: 28 March 2012
|
|
