Group actions on order trees

Rachel Roberts; Melanie Stein

doi:10.1016/s0166-8641(00)00060-2

Group actions on order trees

Rachel Roberts
, Melanie Stein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We begin an investigation of group actions on order trees. We develop some basic definitions and properties. When G is the fundamental group of a non-Haken Seifert fibered space, we completely describe all minimal order tree actions of G by showing that any nontrivial minimal action is necessarily dual to a foliation transverse to the Seifert fibering of M.

Original language	English
Pages (from-to)	175-201
Number of pages	27
Journal	Topology and its Applications
Volume	115
Issue number	2
DOIs	https://doi.org/10.1016/s0166-8641(00)00060-2
State	Published - 2001

Keywords

3-manifold
Essential lamination
Foliation
Group action
Order tree

Access to Document

10.1016/s0166-8641(00)00060-2

Cite this

@article{86b6c925556e4b0498d5b5231fa49268,

title = "Group actions on order trees",

abstract = "We begin an investigation of group actions on order trees. We develop some basic definitions and properties. When G is the fundamental group of a non-Haken Seifert fibered space, we completely describe all minimal order tree actions of G by showing that any nontrivial minimal action is necessarily dual to a foliation transverse to the Seifert fibering of M.",

keywords = "3-manifold, Essential lamination, Foliation, Group action, Order tree",

author = "Rachel Roberts and Melanie Stein",

year = "2001",

doi = "10.1016/s0166-8641(00)00060-2",

language = "English",

volume = "115",

pages = "175--201",

journal = "Topology and its Applications",

issn = "0016-660X",

number = "2",

}

TY - JOUR

T1 - Group actions on order trees

AU - Roberts, Rachel

AU - Stein, Melanie

PY - 2001

Y1 - 2001

N2 - We begin an investigation of group actions on order trees. We develop some basic definitions and properties. When G is the fundamental group of a non-Haken Seifert fibered space, we completely describe all minimal order tree actions of G by showing that any nontrivial minimal action is necessarily dual to a foliation transverse to the Seifert fibering of M.

AB - We begin an investigation of group actions on order trees. We develop some basic definitions and properties. When G is the fundamental group of a non-Haken Seifert fibered space, we completely describe all minimal order tree actions of G by showing that any nontrivial minimal action is necessarily dual to a foliation transverse to the Seifert fibering of M.

KW - 3-manifold

KW - Essential lamination

KW - Foliation

KW - Group action

KW - Order tree

UR - https://www.scopus.com/pages/publications/0038729007

U2 - 10.1016/s0166-8641(00)00060-2

DO - 10.1016/s0166-8641(00)00060-2

M3 - Article

AN - SCOPUS:0038729007

SN - 0016-660X

VL - 115

SP - 175

EP - 201

JO - Topology and its Applications

JF - Topology and its Applications

IS - 2

ER -

Group actions on order trees

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this