- Title
- Simple groups of automorphisms of trees determined by their actions on finite subtrees
- Creator
- Banks, Christopher; Elder, Murray; Willis, George A.
- Relation
- ARC.DP0984342 | ARC|DP120100996 | ARC|FT110100178
- Relation
- Journal of Group Theory Vol. 18, Issue 2, p. 235-261
- Publisher Link
- http://dx.doi.org/10.1515/jgth-2014-0041
- Publisher
- De Gruyter
- Resource Type
- journal article
- Date
- 2015
- Description
- We introduce the notion of the k-closure of a group of automorphisms of a locally finite tree, and give several examples of the construction. We show that the k-closure satisfies a new property of automorphism groups of trees that generalises Tits' Property P. We prove that, apart from some degenerate cases, any non-discrete group acting on a tree with this property contains an abstractly simple subgroup.
- Subject
- tree automorphism; Independence Property; Tits’ property P; simple groups
- Identifier
- http://hdl.handle.net/1959.13/1059759
- Identifier
- uon:16694
- Identifier
- ISSN:1433-5883
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 348 KB | Adobe Acrobat PDF | View Details Download |