Paper Info
Title
The Ruinous-Thin Relationship For Three Element Sets
Abstract
Richard Thompson's group F is nonamenable if and only if there exists a ruinous set. It is known that no three element set is ruinous. Here we explicitly construct a family of thin sets for any three element set each of whose trees has three carets. We then show where this construction fails when each of the trees has four or more carets.
Year
DOI
Venue
2008
10.1142/S0218196708004500
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
binary tree, binary forest, semigroup, amenability, Richard Thompson's group F, ruinous sets
Discrete mathematics,Existential quantification,Algebra,Binary tree,If and only if,Semigroup,Mathematics
Journal
Volume
Issue
ISSN
18
3
0218-1967
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
John Donnelly100.34