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Betten, Dieter

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Author ID: betten.dieter Recent zbMATH articles by "Betten, Dieter"
Published as: Betten, D.; Betten, Dieter
Documents Indexed: 73 Publications since 1968, including 1 Book
Reviewing Activity: 9 Reviews

Publications by Year

Citations contained in zbMATH

65 Publications have been cited 374 times in 194 Documents Cited by Year
Compact projective planes. With an introduction to octonion geometry. Zbl 0851.51003
Salzmann, Helmut; Betten, Dieter; Grundhöfer, Theo; Hähl, Hermann; Löwen, Rainer; Stroppel, Markus
28
1996
4-dimensionale Translationsebenen mit 8-dimensionaler Kollineationsgruppe. Zbl 0272.50028
Betten, Dieter
25
1973
Nicht-desarguessche 4-dimensionale Ebenen. Zbl 0204.53501
Betten, D.
14
1970
Unitals and codes. Zbl 1024.05011
Betten, Anton; Betten, Dieter; Tonchev, Vladimir D.
13
2003
Komplexe Schiefparabel-Ebenen. Zbl 0415.51008
Betten, Dieter
12
1979
4-dimensionale Translationsebenen mit irreduzibler Kollineationsgruppe. Zbl 0273.50018
Betten, Dieter
12
1973
Topologische Geometrien auf dem Möbiusband. Zbl 0167.49002
Betten, D.
12
1968
Orbits in 4-dimensional compact projective planes. Zbl 0745.51009
Betten, Dieter
11
1991
4-dimensionale Translationsebenen mit 7-dimensionaler Kollineationsgruppe. Zbl 0326.50013
Betten, D.
10
1976
4-dimensionale Translationsebenen. (4-dimensional translation planes). Zbl 0231.50011
Betten, Dieter
10
1972
Rotationsflächen-Ebenen. (Planes of surfaces of rotation). Zbl 0635.51011
Betten, D.; Knarr, N.
9
1987
4-dimensionale Translationsebenen mit kommutativer Standgruppe. Zbl 0335.50016
Betten, Dieter
9
1977
Die komplex-hyperbolische Ebene. Zbl 0263.50011
Betten, Dieter
9
1973
4-dimensionale projektive Ebenen mit 3-dimensionaler Translationsgruppe. Zbl 0547.51012
Betten, Dieter
8
1984
Topologische Geometrien auf 3-Mannigfaltigkeiten. Zbl 0477.51012
Betten, D.
8
1981
Clifford parallelism: old and new definitions, and their use. Zbl 1258.51001
Betten, Dieter; Riesinger, Rolf
7
2012
Generalized line stars and topological parallelisms of the real projective 3-space. Zbl 1168.51003
Betten, Dieter; Riesinger, Rolf
7
2008
Topological parallelisms of the real projective 3-space. Zbl 1088.51005
Betten, Dieter; Riesinger, Rolf
7
2005
Tactical decompositions and some configurations \(v_4\). Zbl 0947.51010
Betten, Anton; Betten, Dieter
7
1999
4-dimensional compact projective planes with a 7-dimensional collineation group. Zbl 0717.51013
Betten, Dieter
7
1990
Die Projektivitätengruppe der Moulton-Ebenen. Zbl 0426.51009
Betten, Dieter
7
1979
4-dimensionale Translationsebenen mit genau einer Fixrichtung. Zbl 0297.50031
Betten, Dieter
7
1975
Parallelisms of \(\text{PG}(3, {\mathbb R})\) composed of non-regular spreads. Zbl 1222.51009
Betten, Dieter; Riesinger, Rolf
6
2011
Linear spaces with at most 12 points. Zbl 0935.51009
Betten, Anton; Betten, Dieter
6
1999
4-dimensional compact projective planes with a 5-dimensional nilradical. Zbl 0843.51018
Betten, D.
6
1995
Wirkungen und Geometrien der Gruppe \(L_2\times\mathbb{R}\). Zbl 0384.51010
Betten, Dieter; Ostmann, Axel
6
1978
Projektive Darstellung der Moulton-Ebenen. Zbl 0236.50016
Betten, Dieter
6
1972
Collineation groups of topological parallelisms. Zbl 1291.51011
Betten, Dieter; Riesinger, Rolf
5
2014
Hyperflock determining line sets and totally regular parallelisms of \(\text{PG}(3,\mathbb{R})\). Zbl 1208.51009
Betten, Dieter; Riesinger, Rolf
5
2010
Constructing topological parallelisms of \(\mathrm{PG}(3,\mathbb R)\) via rotation of generalized line pencils. Zbl 1149.51002
Betten, Dieter; Riesinger, Rolf
5
2008
On linear spaces and matroids of arbitrary cardinality. Zbl 1091.05013
Betten, Dieter; Wenzel, Walter
5
2003
The proper linear spaces on 17 points. Zbl 0930.05023
Betten, A.; Betten, D.
5
1999
4-dimensional compact projective planes with a nilpotent collineation group. Zbl 0749.51015
Betten, Dieter
5
1991
Zur Klassifikation 4-dimensionaler projektiver Ebenen. Zbl 0435.51005
Betten, Dieter
5
1980
Compactness of the automorphism group of a topological parallelism on real projective 3-space. Zbl 1379.51003
Betten, Dieter; Löwen, Rainer
4
2017
Regular \(3\)-dimensional parallelisms of \(\mathrm{PG}(3,\mathbb{R})\). Zbl 1336.51008
Betten, Dieter; Riesinger, Rolf
4
2015
Automorphisms of some topological regular parallelisms of \(\mathrm{PG}(3, \mathbb{R})\). Zbl 1316.51001
Betten, Dieter; Riesinger, Rolf
4
2014
Regular linear spaces. Zbl 0890.05014
Betten, Anton; Betten, Dieter
4
1997
2-dimensionale differenzierbare projektive Ebenen. (Two-dimensional differentiable projective planes). Zbl 0222.50024
Betten, Dieter
4
1971
Discussing Knarr’s 2-surface of \(\mathbb{R}^4\) which generates the first single shift plane. Zbl 0969.51004
Betten, Dieter; Riesinger, Rolf
3
2000
Four-dimensional compact projective planes with two fixed points. Zbl 0849.51007
Betten, Dieter; Klein, Hauke
3
1996
Topological ovals in 4-dimensional translation planes. Zbl 0814.51004
Betten, D.; Polster, B.
3
1994
The ten configurations \(10_ 3\). Zbl 0785.05021
Betten, Dieter; Schumacher, Ulrike
3
1993
A tactical decomposition for incidence structures. Zbl 0769.51004
Betten, Dieter; Braun, Mathias
3
1992
Eine Charakterisierung des Reellen Halbraumes. Zbl 0537.51021
Betten, Dieter
3
1983
Einbettung von topologischen Raumgeometrien auf \(R^ 3\) in den reellen affinen Raum. Zbl 0532.51020
Betten, Dieter; Horstmann, Cay
3
1983
The Reye configuration, structure and embedding. Zbl 1361.51007
Betten, Dieter
2
2016
Unital designs with blocking sets. Zbl 1282.05023
Al-Azemi, Abdullah; Betten, Anton; Betten, Dieter
2
2014
Topological shift spaces. Zbl 1067.51007
Betten, Dieter
2
2005
On finite planar functions, their proper shift planes and their derived translation planes. Zbl 1038.51006
Betten, Dieter; Glynn, David G.
2
2002
Note on the proper linear spaces on 18 points. Zbl 0969.05017
Betten, A.; Betten, D.
2
2001
Four-dimensional compact projective planes of orbit type (1,1). Zbl 0947.51011
Betten, Dieter; Polster, Burkard
2
1999
Some classes of topological 3-spaces. Zbl 0631.51006
Betten, Dieter
2
1987
Sperner spaces derived from translation planes. Zbl 0547.51013
Betten, Dieter
2
1984
Geometrische Permutationsgruppen. Zbl 0425.20030
Betten, Dieter
2
1977
\(C^1\)-Wirkungen der hyperbolischen Bewegungsgruppe. Zbl 0399.51013
Betten, Dieter
2
1977
A Latin square in the 24-cell. Zbl 1255.05033
Betten, Dieter
1
2011
There is no Drake/Larson linear space on 30 points. Zbl 1227.05103
Betten, Anton; Betten, Dieter
1
2010
More on regular linear spaces. Zbl 1086.51006
Betten, Anton; Betten, Dieter
1
2005
Proof of the oval conjecture for proper planar partition surfaces. Zbl 1080.51006
Betten, Dieter; Löwen, Rainer
1
2005
Noncommutative line spaces derived from certain ovals of 4-dimensional translation planes. Zbl 1026.51002
Betten, Dieter; Riesinger, Rolf
1
2003
On the classification of 4-dimensional flexible projective planes. Zbl 0888.51012
Betten, Dieter
1
1997
Flexible Raumgeometrien. (Flexible spatial geometries). Zbl 0623.51009
Betten, Dieter
1
1986
Groups of projectivities of topological planes. Zbl 0574.51020
Betten, Dieter; Weigand, Carsten
1
1985
Sperner-Homöomorphismen auf Ebene, Zylinder und Möbiusband. Zbl 0314.55002
Betten, Dieter
1
1976
Compactness of the automorphism group of a topological parallelism on real projective 3-space. Zbl 1379.51003
Betten, Dieter; Löwen, Rainer
4
2017
The Reye configuration, structure and embedding. Zbl 1361.51007
Betten, Dieter
2
2016
Regular \(3\)-dimensional parallelisms of \(\mathrm{PG}(3,\mathbb{R})\). Zbl 1336.51008
Betten, Dieter; Riesinger, Rolf
4
2015
Collineation groups of topological parallelisms. Zbl 1291.51011
Betten, Dieter; Riesinger, Rolf
5
2014
Automorphisms of some topological regular parallelisms of \(\mathrm{PG}(3, \mathbb{R})\). Zbl 1316.51001
Betten, Dieter; Riesinger, Rolf
4
2014
Unital designs with blocking sets. Zbl 1282.05023
Al-Azemi, Abdullah; Betten, Anton; Betten, Dieter
2
2014
Clifford parallelism: old and new definitions, and their use. Zbl 1258.51001
Betten, Dieter; Riesinger, Rolf
7
2012
Parallelisms of \(\text{PG}(3, {\mathbb R})\) composed of non-regular spreads. Zbl 1222.51009
Betten, Dieter; Riesinger, Rolf
6
2011
A Latin square in the 24-cell. Zbl 1255.05033
Betten, Dieter
1
2011
Hyperflock determining line sets and totally regular parallelisms of \(\text{PG}(3,\mathbb{R})\). Zbl 1208.51009
Betten, Dieter; Riesinger, Rolf
5
2010
There is no Drake/Larson linear space on 30 points. Zbl 1227.05103
Betten, Anton; Betten, Dieter
1
2010
Generalized line stars and topological parallelisms of the real projective 3-space. Zbl 1168.51003
Betten, Dieter; Riesinger, Rolf
7
2008
Constructing topological parallelisms of \(\mathrm{PG}(3,\mathbb R)\) via rotation of generalized line pencils. Zbl 1149.51002
Betten, Dieter; Riesinger, Rolf
5
2008
Topological parallelisms of the real projective 3-space. Zbl 1088.51005
Betten, Dieter; Riesinger, Rolf
7
2005
Topological shift spaces. Zbl 1067.51007
Betten, Dieter
2
2005
More on regular linear spaces. Zbl 1086.51006
Betten, Anton; Betten, Dieter
1
2005
Proof of the oval conjecture for proper planar partition surfaces. Zbl 1080.51006
Betten, Dieter; Löwen, Rainer
1
2005
Unitals and codes. Zbl 1024.05011
Betten, Anton; Betten, Dieter; Tonchev, Vladimir D.
13
2003
On linear spaces and matroids of arbitrary cardinality. Zbl 1091.05013
Betten, Dieter; Wenzel, Walter
5
2003
Noncommutative line spaces derived from certain ovals of 4-dimensional translation planes. Zbl 1026.51002
Betten, Dieter; Riesinger, Rolf
1
2003
On finite planar functions, their proper shift planes and their derived translation planes. Zbl 1038.51006
Betten, Dieter; Glynn, David G.
2
2002
Note on the proper linear spaces on 18 points. Zbl 0969.05017
Betten, A.; Betten, D.
2
2001
Discussing Knarr’s 2-surface of \(\mathbb{R}^4\) which generates the first single shift plane. Zbl 0969.51004
Betten, Dieter; Riesinger, Rolf
3
2000
Tactical decompositions and some configurations \(v_4\). Zbl 0947.51010
Betten, Anton; Betten, Dieter
7
1999
Linear spaces with at most 12 points. Zbl 0935.51009
Betten, Anton; Betten, Dieter
6
1999
The proper linear spaces on 17 points. Zbl 0930.05023
Betten, A.; Betten, D.
5
1999
Four-dimensional compact projective planes of orbit type (1,1). Zbl 0947.51011
Betten, Dieter; Polster, Burkard
2
1999
Regular linear spaces. Zbl 0890.05014
Betten, Anton; Betten, Dieter
4
1997
On the classification of 4-dimensional flexible projective planes. Zbl 0888.51012
Betten, Dieter
1
1997
Compact projective planes. With an introduction to octonion geometry. Zbl 0851.51003
Salzmann, Helmut; Betten, Dieter; Grundhöfer, Theo; Hähl, Hermann; Löwen, Rainer; Stroppel, Markus
28
1996
Four-dimensional compact projective planes with two fixed points. Zbl 0849.51007
Betten, Dieter; Klein, Hauke
3
1996
4-dimensional compact projective planes with a 5-dimensional nilradical. Zbl 0843.51018
Betten, D.
6
1995
Topological ovals in 4-dimensional translation planes. Zbl 0814.51004
Betten, D.; Polster, B.
3
1994
The ten configurations \(10_ 3\). Zbl 0785.05021
Betten, Dieter; Schumacher, Ulrike
3
1993
A tactical decomposition for incidence structures. Zbl 0769.51004
Betten, Dieter; Braun, Mathias
3
1992
Orbits in 4-dimensional compact projective planes. Zbl 0745.51009
Betten, Dieter
11
1991
4-dimensional compact projective planes with a nilpotent collineation group. Zbl 0749.51015
Betten, Dieter
5
1991
4-dimensional compact projective planes with a 7-dimensional collineation group. Zbl 0717.51013
Betten, Dieter
7
1990
Rotationsflächen-Ebenen. (Planes of surfaces of rotation). Zbl 0635.51011
Betten, D.; Knarr, N.
9
1987
Some classes of topological 3-spaces. Zbl 0631.51006
Betten, Dieter
2
1987
Flexible Raumgeometrien. (Flexible spatial geometries). Zbl 0623.51009
Betten, Dieter
1
1986
Groups of projectivities of topological planes. Zbl 0574.51020
Betten, Dieter; Weigand, Carsten
1
1985
4-dimensionale projektive Ebenen mit 3-dimensionaler Translationsgruppe. Zbl 0547.51012
Betten, Dieter
8
1984
Sperner spaces derived from translation planes. Zbl 0547.51013
Betten, Dieter
2
1984
Eine Charakterisierung des Reellen Halbraumes. Zbl 0537.51021
Betten, Dieter
3
1983
Einbettung von topologischen Raumgeometrien auf \(R^ 3\) in den reellen affinen Raum. Zbl 0532.51020
Betten, Dieter; Horstmann, Cay
3
1983
Topologische Geometrien auf 3-Mannigfaltigkeiten. Zbl 0477.51012
Betten, D.
8
1981
Zur Klassifikation 4-dimensionaler projektiver Ebenen. Zbl 0435.51005
Betten, Dieter
5
1980
Komplexe Schiefparabel-Ebenen. Zbl 0415.51008
Betten, Dieter
12
1979
Die Projektivitätengruppe der Moulton-Ebenen. Zbl 0426.51009
Betten, Dieter
7
1979
Wirkungen und Geometrien der Gruppe \(L_2\times\mathbb{R}\). Zbl 0384.51010
Betten, Dieter; Ostmann, Axel
6
1978
4-dimensionale Translationsebenen mit kommutativer Standgruppe. Zbl 0335.50016
Betten, Dieter
9
1977
Geometrische Permutationsgruppen. Zbl 0425.20030
Betten, Dieter
2
1977
\(C^1\)-Wirkungen der hyperbolischen Bewegungsgruppe. Zbl 0399.51013
Betten, Dieter
2
1977
4-dimensionale Translationsebenen mit 7-dimensionaler Kollineationsgruppe. Zbl 0326.50013
Betten, D.
10
1976
Sperner-Homöomorphismen auf Ebene, Zylinder und Möbiusband. Zbl 0314.55002
Betten, Dieter
1
1976
4-dimensionale Translationsebenen mit genau einer Fixrichtung. Zbl 0297.50031
Betten, Dieter
7
1975
4-dimensionale Translationsebenen mit 8-dimensionaler Kollineationsgruppe. Zbl 0272.50028
Betten, Dieter
25
1973
4-dimensionale Translationsebenen mit irreduzibler Kollineationsgruppe. Zbl 0273.50018
Betten, Dieter
12
1973
Die komplex-hyperbolische Ebene. Zbl 0263.50011
Betten, Dieter
9
1973
4-dimensionale Translationsebenen. (4-dimensional translation planes). Zbl 0231.50011
Betten, Dieter
10
1972
Projektive Darstellung der Moulton-Ebenen. Zbl 0236.50016
Betten, Dieter
6
1972
2-dimensionale differenzierbare projektive Ebenen. (Two-dimensional differentiable projective planes). Zbl 0222.50024
Betten, Dieter
4
1971
Nicht-desarguessche 4-dimensionale Ebenen. Zbl 0204.53501
Betten, D.
14
1970
Topologische Geometrien auf dem Möbiusband. Zbl 0167.49002
Betten, D.
12
1968
all top 5

Cited by 152 Authors

30 Betten, Dieter
20 Löwen, Rainer
11 Stroppel, Markus Johannes
10 Polster, Burkard
10 Riesinger, Rolf
9 Knarr, Norbert
8 Strambach, Karl
6 Steinke, Günter F.
5 Betten, Anton
5 Groh, Hansjoachim
5 Johnson, Norman Lloyd
5 Klein, Hauke
4 Figula, Ágota
4 Gropp, Harald
4 Jha, Vikram
4 Mao, Hua
4 Salzmann, Helmut R.
3 Bödi, Richard
3 Hähl, Hermann
3 Havlicek, Hans
3 Kalhoff, Franz B.
3 O’Keefe, Christine M.
3 Penttila, Tim
3 Prażmowska, Małgorzata
3 Thas, Joseph Adolphe
2 Alazemi, Abdullah
2 Barlotti, Adriano
2 Betten, Josef
2 Bokowski, Jürgen G.
2 Falcone, Giovanni
2 Funk, Martin J.
2 Korchmáros, Gábor
2 Kramer, Linus
2 Krčadinac, Vedran
2 Labbate, Domenico
2 Mezőfi, Dávid
2 Nagy, Gábor Péter
2 Napolitano, Vito
2 Pambuccian, Victor V.
2 Petelczyc, Krzysztof
2 Pohl, Hans-Joachim
2 Prażmowski, Krzysztof
2 Siciliano, Alessandro
2 Szőnyi, Tamás
2 Tonchev, Vladimir D.
2 Van Maldeghem, Hendrik J.
1 Abreu, Marién
1 Apicella, A.
1 Baez, John C.
1 Bamberg, John
1 Bannai, Eiichi
1 Barbot, Thierry
1 Bickel, Holger
1 Biliotti, Mauro
1 Biller, Harald
1 Blokhuis, Aart
1 Blunck, Andrea
1 Bouyukliev, Iliya Georgiev
1 Bremner, David
1 Brinkmann, Gunnar
1 Brouwer, Andries Evert
1 Brown, Matthew R.
1 Buschmann, A.
1 Calvillo-Vives, Gilberto
1 Cherowitzo, William E.
1 Cogliati, Alberto
1 Dalla Volta, Francesca
1 De Medts, Tom
1 Dolinar, Gregor
1 Ebert, Gary Lee
1 Eisele, Eberhard F.
1 England, Roland
1 Fink, John B.
1 Fisher, J. Chris
1 Frik, M.
1 Funk, Matthias
1 Ganley, Michael J.
1 Gezek, Mustafa
1 Grünbaum, Branko
1 Habert, Luc
1 Heimbeck, Günter
1 Helisch, W.
1 Hofmann, Karl Heinrich
1 Horstmann, Cay S.
1 Imai, Hideki
1 Immervoll, Stefan
1 Jungnickel, Dieter
1 Kaplan, Nathan
1 Kimport, Susie
1 Klin, Mikhail H.
1 Kloeckner, Benoît R.
1 Kuzma, Bojan
1 Labardini-Fragoso, Daniel
1 Lamour, René
1 Lauri, Josef
1 Lawrence, Rachel
1 Lippert, Martin F.
1 Löwe, Harald
1 Mahnken, Rolf
1 Mao, Hun
...and 52 more Authors
all top 5

Cited in 53 Serials

23 Journal of Geometry
22 Results in Mathematics
15 Archiv der Mathematik
12 Geometriae Dedicata
11 Discrete Mathematics
9 Mathematische Zeitschrift
7 Journal of Combinatorial Theory. Series A
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 European Journal of Combinatorics
6 Advances in Geometry
5 Discrete Applied Mathematics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Monatshefte für Mathematik
5 Designs, Codes and Cryptography
4 Transactions of the American Mathematical Society
3 Proceedings of the American Mathematical Society
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Journal of Combinatorial Designs
2 Rocky Mountain Journal of Mathematics
2 Journal of Algebra
2 Mathematische Annalen
2 Graphs and Combinatorics
2 Discrete & Computational Geometry
2 Aequationes Mathematicae
2 Linear Algebra and its Applications
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Beiträge zur Algebra und Geometrie
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Czechoslovak Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Statistical Planning and Inference
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Topology and its Applications
1 Acta Mathematica Hungarica
1 Journal of Symbolic Computation
1 Computational Geometry
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 The Australasian Journal of Combinatorics
1 Journal of Algebraic Combinatorics
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 The Electronic Journal of Combinatorics
1 Innovations in Incidence Geometry
1 Ars Mathematica Contemporanea
1 Advances in Pure and Applied Mathematics
1 Eurasian Mathematical Journal
1 Open Mathematics

Citations by Year