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Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-1741
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dc.contributor.authorBödi, Richard-
dc.date.accessioned2018-02-27T14:25:55Z-
dc.date.available2018-02-27T14:25:55Z-
dc.date.issued1998-10-
dc.identifier.issn0046-5755de_CH
dc.identifier.issn1572-9168de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/3238-
dc.descriptionErworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch)de_CH
dc.description.abstractSmooth projective planes are projective planes defined on smooth manifolds (i.e. the set of points and the set of lines are smooth manifolds) such that the geometric operations of join and intersection are smooth. A systematic study of such planes and of their collineation groups can be found in previous works of the author. We prove in this paper that a 16-dimensional smooth projective plane which admits a collineation group of dimension d ≥ 39 is isomorphic to the octonion projective plane P2 O. For topological compact projective planes this is true if d ≥ 41. Note that there are nonclassical topological planes with a collineation group of dimension 40.de_CH
dc.language.isoende_CH
dc.publisherSpringerde_CH
dc.relation.ispartofGeometriae Dedicatade_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectSmooth projectivede_CH
dc.subjectPlane homogeneityde_CH
dc.subject16-dimensionalde_CH
dc.subject.ddc510: Mathematikde_CH
dc.title16-dimensional smooth projective planes with large collineation groupsde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.publisher.placeWiende_CH
dc.identifier.doi10.21256/zhaw-1741-
dc.identifier.doi10.1023/A:1005020223604de_CH
zhaw.funding.euNode_CH
zhaw.issue3de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.end298de_CH
zhaw.pages.start283de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume72de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
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Bödi, R. (1998). 16-dimensional smooth projective planes with large collineation groups. Geometriae Dedicata, 72(3), 283–298. https://doi.org/10.21256/zhaw-1741
Bödi, R. (1998) ‘16-dimensional smooth projective planes with large collineation groups’, Geometriae Dedicata, 72(3), pp. 283–298. Available at: https://doi.org/10.21256/zhaw-1741.
R. Bödi, “16-dimensional smooth projective planes with large collineation groups,” Geometriae Dedicata, vol. 72, no. 3, pp. 283–298, Oct. 1998, doi: 10.21256/zhaw-1741.
BÖDI, Richard, 1998. 16-dimensional smooth projective planes with large collineation groups. Geometriae Dedicata. Oktober 1998. Bd. 72, Nr. 3, S. 283–298. DOI 10.21256/zhaw-1741
Bödi, Richard. 1998. “16-Dimensional Smooth Projective Planes with Large Collineation Groups.” Geometriae Dedicata 72 (3): 283–98. https://doi.org/10.21256/zhaw-1741.
Bödi, Richard. “16-Dimensional Smooth Projective Planes with Large Collineation Groups.” Geometriae Dedicata, vol. 72, no. 3, Oct. 1998, pp. 283–98, https://doi.org/10.21256/zhaw-1741.


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