Homogene kompakte projektive Ebenen

Helmut Salzmann

Type: Article

Publication Date: 1975-10-01

Citations: 79

DOI: https://doi.org/10.2140/pjm.1975.60.217

Abstract

For a compact connected topological projective plane $\ the following is shown: In the compact-open topology, the automorphism group Σ of ^ is a locally compact transformation group with countable basis.If Σ is transitive on incident point-line pairs, or if dim ^ ^ 16 and Σ is point transitive, then 9 is isomorphic to one of the four classical planes over an associative or alternative division ring.

Locations

Pacific Journal of Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Symmetries of complex projective spaces(Topology and Transformation Groups)	1985	Karl Heinz Dovermann
+	Projective domains with non-compact automorphism group	1999	이창우
+	Transformations birationnelles, géométrie projective hyperspatiale	1948	Lucien Godeaux M. René Garnier
+ PDF Chat	Planes with non-division coordinate rings	1992	John R. Faulkner
+	Four-dimensional compact projective planes with a nonsolvable automorphism group	1990	Rainer L�wen
+	Automorphism groups of compact projective planes	1986	Theo Grundhöfer
+	Baer p-elements in translation planes	1974	David A. Foulser
+	Compact Projective Planes	1995	Helmut Salzmann Dieter Betten Theo Grundhöfer Hermann Hähl Rainer Löwen Markus Stroppel
+	Compact transformation groups on complex projective spaces with codimension two principal orbits	1978	Fuichi Uchida
+	Gobos in a finite projective plane	1971	George E. Martin
+	Translation Planes: Foundations and Construction Principles	1995	Norbert Knarr
+	Groups of projective transformations	1930	Duncan Young
+	Semigroup compactification of projective limits of topological semigroups	1995	K. S. KRIPALINI
+	Actions of Finitely Generated Groups and Semigroups on a Plane by Means of Isometries	2004	З. Д. Воробец
+ PDF Chat	Coordinatisation of projective planes with a homomorphism	1977	František Machala
+	Permutation mappings in finite projective planes	1966	J. W. Archbold
+	Piecewise projective homeomorphisms and a noncommutative Steinberg extension	1995	Peter Greenberg Vlad Sergiescu
+	Realizability of the torus and the projective plane in ℝ4	1995	Ulrich Brehm Göran Schild
+	Homomorphisms of projective planes.	1969	Donald Hawkins Row
+	Transformation Groups	1987	Tammo tom Dieck

Works That Cite This (69)

Action	Title	Year	Authors
+ PDF Chat	Gruppenuniversalität und Homogenisierbarkeit	1985	Martin Funk Otto H. Kegel Karl Strambach
+	Collineation groups of compact connected projective planes	1982	Rainer L�wen Helmut Salzmann
+	Automorphismengruppen 8-dimensionaler Tern�rk�rper	1979	Helmut Salzmann
+	Actions of almost simple groups on eight-dimensional stable planes	1997	Markus Stroppel
+	Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces	2001	Linus Kramer
+ PDF Chat	Homologies and elations in compact, connected projective planes	1981	Hermann Hähl
+	Automorphismengruppen achtdimensionaler lokalkompakter Quasik�rper	1976	Hermann H�hl
+ PDF Chat	A fractional Leibniz $q$-formula	1975	W. A. Al‐Salam Arun Verma
+ PDF Chat	Construction functors for topological semigroups	1975	Thomas Bowman
+ PDF Chat	On a space between $BH$ and $B_\infty$	1975	Jerrold Siegel

Works Cited by This (42)

Action	Title	Year	Authors
+ PDF Chat	Strongly semiprime rings	1975	David Handelman
+ PDF Chat	Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen	1967	Jacques Tits
+	Lie algebras and locally compact groups	1971	Irving Kaplansky
+ PDF Chat	Groups acting on the 4-sphere	1961	R. W. Richardson
+ PDF Chat	On the action of the Dyer-Lashof algebra in<i>H</i><sub>∗</sub>(<i>G</i>)	1975	Ib Madsen
+ PDF Chat	Set approximation by lemniscates and the spectrum of an operator on an interpolation space	1975	James D. Stafney
+ PDF Chat	Strongly unicoherent continua	1975	Donald E. Bennett
+ PDF Chat	Construction functors for topological semigroups	1975	Thomas Bowman
+ PDF Chat	Unconditional Schauder decompositions of normed ideals of operators between some<i>l</i><sub><i>p</i></sub>-spaces	1975	Y. Gordon
+ PDF Chat	Homogene kompakte projektive Ebenen	1975	Helmut Salzmann