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dc.contributor.authorHähl, Hermannde
dc.date.accessioned2009-07-03de
dc.date.accessioned2016-03-31T11:41:30Z-
dc.date.available2009-07-03de
dc.date.available2016-03-31T11:41:30Z-
dc.date.issued1981de
dc.identifier.other314409696de
dc.identifier.urihttp://nbn-resolving.de/urn:nbn:de:bsz:93-opus-41213de
dc.identifier.urihttp://elib.uni-stuttgart.de/handle/11682/6961-
dc.identifier.urihttp://dx.doi.org/10.18419/opus-6944-
dc.description.abstractIn a compact, connected topological projective plane, let Ω be a closed Lie subgroup of the group of all axial collineations with a fixed axis A. We compare the set З\A consisting of the centres of all non-identical homologies in Ω to orbits of the group Ω[A] of all elations contained in Ω and of its connected component θ = (Ω[A])1. It is shown that З\A is the union of at most countably many θ-orbits; moreover, З\A turns out to be a single θ-orbit whenever the connected component of Ω contains non-identical homologies. This result is analogous to a well-known theorem of André for finite planes. It has numerous consequences for the structure of collineation groups of compact, connected projective planes.en
dc.language.isoende
dc.rightsinfo:eu-repo/semantics/openAccessde
dc.subject.classificationDivisionsalgebra , Homologiede
dc.subject.ddc510de
dc.titleHomologies and elations in compact, connected projective planesen
dc.typearticlede
dc.date.updated2014-09-11de
ubs.fakultaetFakultätsübergreifend / Sonstige Einrichtungde
ubs.institutSonstige Einrichtungde
ubs.opusid4121de
ubs.publikation.sourceTopology and its application 12 (1981), S. 49-63. URL http://dx.doi.org./10.1016/0166-8641(81)90029-8de
ubs.publikation.typZeitschriftenartikelde
Enthalten in den Sammlungen:15 Fakultätsübergreifend / Sonstige Einrichtung

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