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Quasi‐Actions on Trees and Property (QFA)
Author(s) -
Manning J. F.
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705022738
Subject(s) - property (philosophy) , class (philosophy) , mathematics , combinatorics , pure mathematics , computer science , epistemology , philosophy , artificial intelligence
We prove some general results about quasi‐actions on trees and define Property (QFA), which is analogous to Serre's Property (FA), but in the coarse setting. This property is shown to hold for a class of groups, including SL( n , Z) for n ⩾ 3. We also give a way of thinking about Property (QFA) by breaking it down into statements about particular classes of trees.