An algebraic classification of some solvable groups of homeomorphisms
| dc.creator | Bleak, Collin | |
| dc.date | 2006-02-02 | |
| dc.date | 2006-04-13 | |
| dc.date.accessioned | 2026-07-07T07:03:03Z | |
| dc.date.available | 2026-07-07T07:03:03Z | |
| dc.description | We produce two separate algebraic descriptions of the isomorphism classes of the solvable subgroups of the group PLo(I) of piecewise-linear orientation-preserving homeomorphisms of the unit interval under the operation of composition, and also of the solvable subgroups of the generalized R. Thompson groups F_n. The first description is as a set of isomorphism classes of groups which is closed under three algebraic operations, and the second is as the set of isomorphism classes of subgroups of a countable collection of easily described groups. We show the two descriptions are equivalent. | |
| dc.description | 29 pages, 1 figure, preprint. This version has an improved introduction (better references, for instance), and a completely re-written section on the split group. The section on the split group is more detailed and corrects a minor inaccuracy | |
| dc.identifier | https://arxiv.org/abs/math/0602038 | |
| dc.identifier | http://arxiv.org/abs/math/0602038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108828 | |
| dc.subject | Group Theory | |
| dc.subject | General Topology | |
| dc.subject | 20F38 | |
| dc.title | An algebraic classification of some solvable groups of homeomorphisms | |
| dc.type | text |