Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bödi, Richard | - |
| dc.date.accessioned | 2018-02-27T13:45:34Z | - |
| dc.date.available | 2018-02-27T13:45:34Z | - |
| dc.date.issued | 1998 | - |
| dc.identifier.issn | 0019-3577 | de_CH |
| dc.identifier.uri | https://digitalcollection.zhaw.ch/handle/11475/3225 | - |
| dc.description.abstract | Let S be a smooth stable plane of dimension n (see Definition 1.2) and let Δ be a closed subgroup of the collineation group of S which fixes some point p. We derive some results on the group-theoretical structure of Δ, e.g. that Δ is a linear Lie group (Theorem 3.7). As a by-product this shows that no (affine or projective) Moulton plane can be turned into a smooth plane. If Δ fixes some flag, then any Levi subgroup Ψ of Δ is a compact group and Δ is contained in the flag stabilizer of the classical Moufang plane of dimension n (Corollary 3.1 and Theorem 3.7). Let Δ fix three concurrent lines through the point p. If is one of the classical projective planes over the reals, the complex numbers, the quaternions, or the Cayley numbers, then the dimension of Δ is dclass = 3, 6, 15, or 38, respectively. We show that for a smooth stable (projective) plane S of dimension 2l either S is an almost projective translation plane (classical projective plane) or that dim Δ ≤ dclass − l holds (Theorems 4.1 and 4.2). | de_CH |
| dc.language.iso | en | de_CH |
| dc.publisher | Elsevier | de_CH |
| dc.relation.ispartof | Indagationes Mathematicae | de_CH |
| dc.rights | Licence according to publishing contract | de_CH |
| dc.subject.ddc | 510: Mathematik | de_CH |
| dc.title | Stabilizers of collineation groups of smooth stable planes | de_CH |
| dc.type | Beitrag in wissenschaftlicher Zeitschrift | de_CH |
| dcterms.type | Text | de_CH |
| zhaw.departement | School of Engineering | de_CH |
| zhaw.publisher.place | Amsterdam | de_CH |
| dc.identifier.doi | 10.1016/S0019-3577(98)80028-1 | de_CH |
| zhaw.funding.eu | No | de_CH |
| zhaw.issue | 4 | de_CH |
| zhaw.originated.zhaw | Yes | de_CH |
| zhaw.pages.end | 490 | de_CH |
| zhaw.pages.start | 477 | de_CH |
| zhaw.publication.status | publishedVersion | de_CH |
| zhaw.volume | 9 | de_CH |
| zhaw.publication.review | Peer review (Publikation) | de_CH |
| Appears in collections: | Publikationen School of Engineering | |
Files in This Item:
There are no files associated with this item.
Show simple item record
Bödi, R. (1998). Stabilizers of collineation groups of smooth stable planes. Indagationes Mathematicae, 9(4), 477–490. https://doi.org/10.1016/S0019-3577(98)80028-1
Bödi, R. (1998) ‘Stabilizers of collineation groups of smooth stable planes’, Indagationes Mathematicae, 9(4), pp. 477–490. Available at: https://doi.org/10.1016/S0019-3577(98)80028-1.
R. Bödi, “Stabilizers of collineation groups of smooth stable planes,” Indagationes Mathematicae, vol. 9, no. 4, pp. 477–490, 1998, doi: 10.1016/S0019-3577(98)80028-1.
BÖDI, Richard, 1998. Stabilizers of collineation groups of smooth stable planes. Indagationes Mathematicae. 1998. Bd. 9, Nr. 4, S. 477–490. DOI 10.1016/S0019-3577(98)80028-1
Bödi, Richard. 1998. “Stabilizers of Collineation Groups of Smooth Stable Planes.” Indagationes Mathematicae 9 (4): 477–90. https://doi.org/10.1016/S0019-3577(98)80028-1.
Bödi, Richard. “Stabilizers of Collineation Groups of Smooth Stable Planes.” Indagationes Mathematicae, vol. 9, no. 4, 1998, pp. 477–90, https://doi.org/10.1016/S0019-3577(98)80028-1.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.