Steinke, Günter F. A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes. (English) Zbl 1505.51004 Adv. Geom. 22, No. 4, 579-590 (2022). Reviewer: Horst Szambien (Garbsen) MSC: 51H15 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Adv. Geom. 22, No. 4, 579--590 (2022; Zbl 1505.51004) Full Text: DOI
Steinke, Günter F. The classification of Kleinewillinghöfer types of \(2\)-dimensional Laguerre planes. (English) Zbl 1476.51011 Aequationes Math. 95, No. 5, 967-983 (2021). Reviewer: Horst Szambien (Garbsen) MSC: 51H15 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Aequationes Math. 95, No. 5, 967--983 (2021; Zbl 1476.51011) Full Text: DOI
Steinke, Günter F. A note on the Dembowksi-Prohaska conjecture for finite inversive planes. (English) Zbl 1469.51005 Australas. J. Comb. 79, Part 3, 527-541 (2021). Reviewer: Theo Grundhöfer (Würzburg) MSC: 51E20 PDFBibTeX XMLCite \textit{G. F. Steinke}, Australas. J. Comb. 79, Part 3, 527--541 (2021; Zbl 1469.51005) Full Text: Link
Creutz, Brendan; Ho, Duy; Steinke, Günter F. Three-dimensional connected groups of automorphisms of toroidal circle planes. (English) Zbl 1471.51007 Adv. Geom. 20, No. 4, 585-594 (2020). Reviewer: Norbert Knarr (Stuttgart) MSC: 51H15 51B20 PDFBibTeX XMLCite \textit{B. Creutz} et al., Adv. Geom. 20, No. 4, 585--594 (2020; Zbl 1471.51007) Full Text: DOI arXiv
Steinke, Günter F. A characterization of the known finite Minkowski planes in terms of Klein-Kroll types with respect to \(\mathcal{G}\)-translations. (English) Zbl 1420.51005 J. Geom. 110, No. 2, Paper No. 35, 10 p. (2019). Reviewer: Dirk Keppens (Gent) MSC: 51B20 51E25 PDFBibTeX XMLCite \textit{G. F. Steinke}, J. Geom. 110, No. 2, Paper No. 35, 10 p. (2019; Zbl 1420.51005) Full Text: DOI
Steinke, Günter F. A new family of 2-dimensional Laguerre planes that admit \(\mathrm{PSL}_2(\mathbb{R}) \times \mathbb{R}\) as a group of automorphisms. (English) Zbl 1407.51006 Innov. Incidence Geom. 17, No. 1, 53-75 (2019). Reviewer: Dirk Keppens (Gent) MSC: 51H15 51B15 51E12 PDFBibTeX XMLCite \textit{G. F. Steinke}, Innov. Incidence Geom. 17, No. 1, 53--75 (2019; Zbl 1407.51006) Full Text: DOI
Steinke, Günter F.; Stroppel, Markus Generalized quadrangles, Laguerre planes and shift planes of odd order. (English) Zbl 1406.51004 Innov. Incidence Geom. 17, No. 1, 47-52 (2019). Reviewer: Geertrui Van de Voorde (Gent) MSC: 51B15 51E12 51E15 05B25 51E25 51A40 PDFBibTeX XMLCite \textit{G. F. Steinke} and \textit{M. Stroppel}, Innov. Incidence Geom. 17, No. 1, 47--52 (2019; Zbl 1406.51004) Full Text: DOI Euclid
Steinke, Günter F. A family of two-dimensional Laguerre planes of Kleinewillinghöfer type II.A.2. (English) Zbl 1406.51003 J. Aust. Math. Soc. 105, No. 3, 366-379 (2018). Reviewer: Horst Szambien (Garbsen) MSC: 51B15 51H15 PDFBibTeX XMLCite \textit{G. F. Steinke}, J. Aust. Math. Soc. 105, No. 3, 366--379 (2018; Zbl 1406.51003) Full Text: DOI
Steinke, Günter F.; Stroppel, Markus J. On elation Laguerre planes with a two-transitive orbit on the set of generators. (English) Zbl 1396.51002 Finite Fields Appl. 53, 64-84 (2018). Reviewer: Dirk Keppens (Gent) MSC: 51B15 51E25 20B20 PDFBibTeX XMLCite \textit{G. F. Steinke} and \textit{M. J. Stroppel}, Finite Fields Appl. 53, 64--84 (2018; Zbl 1396.51002) Full Text: DOI Link
Creutz, Brendan; Ho, Duy; Steinke, Günter F. On automorphism groups of toroidal circle planes. (English) Zbl 1396.51006 J. Geom. 109, No. 1, Paper No. 15, 13 p. (2018). Reviewer: Dirk Keppens (Gent) MSC: 51H15 51B20 PDFBibTeX XMLCite \textit{B. Creutz} et al., J. Geom. 109, No. 1, Paper No. 15, 13 p. (2018; Zbl 1396.51006) Full Text: DOI arXiv
Steinke, Günter F. Modified classical flat Minkowski planes. (English) Zbl 1387.51015 Adv. Geom. 17, No. 3, 379-396 (2017). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51H15 51B20 PDFBibTeX XMLCite \textit{G. F. Steinke}, Adv. Geom. 17, No. 3, 379--396 (2017; Zbl 1387.51015) Full Text: DOI
Steinke, Günter F. Collineations of finite 2-affine planes. (English) Zbl 1378.51004 Des. Codes Cryptography 85, No. 1, 107-120 (2017). Reviewer: Geertrui Van de Voorde (Gent) MSC: 51A10 51E14 51E15 51E26 PDFBibTeX XMLCite \textit{G. F. Steinke}, Des. Codes Cryptography 85, No. 1, 107--120 (2017; Zbl 1378.51004) Full Text: DOI
Steinke, Günter F. Finite Minkowski planes of type 20 with respect to homotheties. (English) Zbl 1339.51005 Finite Fields Appl. 39, 83-95 (2016). Reviewer: Gloria Rinaldi (Reggio Emilia) MSC: 51B20 51E25 51A10 PDFBibTeX XMLCite \textit{G. F. Steinke}, Finite Fields Appl. 39, 83--95 (2016; Zbl 1339.51005) Full Text: DOI
Steinke, Günter F. Flat Laguerre planes admitting 4-dimensional groups of automorphisms that fix a parallel class. (English) Zbl 1329.51007 Aequationes Math. 89, No. 5, 1359-1388 (2015). Reviewer: Rainer Löwen (Braunschweig) MSC: 51H15 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Aequationes Math. 89, No. 5, 1359--1388 (2015; Zbl 1329.51007) Full Text: DOI
Steinke, Günter F.; Stroppel, Markus J. Simple groups acting two-transitively on the set of generators of a finite elation Laguerre plane. (English) Zbl 1319.51012 Beitr. Algebra Geom. 56, No. 1, 285-298 (2015). Reviewer: Gloria Rinaldi (Reggio Emilia) MSC: 51E25 51B15 20B20 PDFBibTeX XMLCite \textit{G. F. Steinke} and \textit{M. J. Stroppel}, Beitr. Algebra Geom. 56, No. 1, 285--298 (2015; Zbl 1319.51012) Full Text: DOI
Löwen, Rainer; Steinke, Günter F. The circle space of a spherical circle plane. (English) Zbl 1296.51016 Bull. Belg. Math. Soc. - Simon Stevin 21, No. 2, 351-364 (2014). Reviewer: Rolf Riesinger (Wien) MSC: 51H15 PDFBibTeX XMLCite \textit{R. Löwen} and \textit{G. F. Steinke}, Bull. Belg. Math. Soc. - Simon Stevin 21, No. 2, 351--364 (2014; Zbl 1296.51016) Full Text: Euclid
Steinke, Günter F. A note on Minkowski planes admitting groups of automorphisms of some large types with respect to homotheties. (English) Zbl 1278.51004 J. Geom. 103, No. 3, 531-540 (2012). Reviewer: Gloria Rinaldi (Reggio Emilia) MSC: 51B20 51E25 PDFBibTeX XMLCite \textit{G. F. Steinke}, J. Geom. 103, No. 3, 531--540 (2012; Zbl 1278.51004) Full Text: DOI
Steinke, Günter F. A family of flat Laguerre planes of Kleinewillinghöfer type IV.A. (English) Zbl 1271.51002 Aequationes Math. 84, No. 1-2, 99-119 (2012). Reviewer: Horst Szambien (Garbsen) MSC: 51B15 51H15 51H20 PDFBibTeX XMLCite \textit{G. F. Steinke}, Aequationes Math. 84, No. 1--2, 99--119 (2012; Zbl 1271.51002) Full Text: DOI
Schillewaert, Jeroen; Steinke, Günter F. A flat Laguerre plane of Kleinewillinghöfer type V. (English) Zbl 1254.51001 J. Aust. Math. Soc. 91, No. 2, 257-274 (2011). Reviewer: Horst Szambien (Garbsen) MSC: 51B15 51H15 51H20 PDFBibTeX XMLCite \textit{J. Schillewaert} and \textit{G. F. Steinke}, J. Aust. Math. Soc. 91, No. 2, 257--274 (2011; Zbl 1254.51001) Full Text: DOI
Schillewaert, Jeroen; Steinke, Günter F. Flat Laguerre planes of Kleinewillinghöfer type III.B. (English) Zbl 1248.51002 Adv. Geom. 11, No. 4, 637-652 (2011). Reviewer: Horst Szambien (Garbsen) MSC: 51B15 51H15 51H20 PDFBibTeX XMLCite \textit{J. Schillewaert} and \textit{G. F. Steinke}, Adv. Geom. 11, No. 4, 637--652 (2011; Zbl 1248.51002) Full Text: DOI
Steinke, Günter F. A characterization of certain elation Laguerre planes in terms of Kleinewillinghöfer types. (English) Zbl 1193.51016 Result. Math. 57, No. 1-2, 43-51 (2010). Reviewer: Markus Stroppel (Stuttgart) MSC: 51H15 51B15 51E25 PDFBibTeX XMLCite \textit{G. F. Steinke}, Result. Math. 57, No. 1--2, 43--51 (2010; Zbl 1193.51016) Full Text: DOI
Steinke, Günter F. Sisters of some 4-dimensional elation Laguerre planes of group dimension 10. (English) Zbl 1194.51012 Monatsh. Math. 159, No. 4, 407-423 (2010). Reviewer: Rainer Löwen (Braunschweig) MSC: 51H15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Monatsh. Math. 159, No. 4, 407--423 (2010; Zbl 1194.51012) Full Text: DOI
Löwen, Rainer; Soytürk, Emine; Steinke, Günter F. Blowing up points and embedding flat stable planes in the nonorientable compact surface of genus one. (English) Zbl 1146.51010 Topology Appl. 155, No. 10, 1041-1055 (2008). Reviewer: Theo Grundhöfer (Würzburg) MSC: 51H10 51H20 51G05 57M50 PDFBibTeX XMLCite \textit{R. Löwen} et al., Topology Appl. 155, No. 10, 1041--1055 (2008; Zbl 1146.51010) Full Text: DOI
Steinke, Günter F. More on Kleinewillinghöfer types of flat Laguerre planes. (English) Zbl 1147.51009 Result. Math. 51, No. 1-2, 111-126 (2007). Reviewer: Pavel Burda (Ostrava) MSC: 51H15 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Result. Math. 51, No. 1--2, 111--126 (2007; Zbl 1147.51009) Full Text: DOI
Löwen, Rainer; Steinke, Günter F. Actions of \(\mathbb R \cdot \widetilde{\mathrm{SL}}_2\mathbb R\) on Laguerre planes related to the Moulton planes. (English) Zbl 1155.51008 J. Lie Theory 17, No. 4, 685-708 (2007). Reviewer: Horst Szambien (Garbsen) MSC: 51H15 51B15 51A35 22E46 PDFBibTeX XMLCite \textit{R. Löwen} and \textit{G. F. Steinke}, J. Lie Theory 17, No. 4, 685--708 (2007; Zbl 1155.51008) Full Text: Link
Steinke, Günter F. On the Klein-Kroll types of flat Minkowski planes. (English) Zbl 1155.51009 J. Geom. 87, No. 1-2, 160-178 (2007). Reviewer: Horst Szambien (Garbsen) MSC: 51H15 51B20 PDFBibTeX XMLCite \textit{G. F. Steinke}, J. Geom. 87, No. 1--2, 160--178 (2007; Zbl 1155.51009) Full Text: DOI
Steinke, Günter F. A classification of 4-dimensional elation Laguerre planes of group dimension 10. (English) Zbl 1121.51008 Adv. Geom. 6, No. 3, 339-360 (2006). Reviewer: Theo Grundhöfer (Würzburg) MSC: 51H15 51H10 PDFBibTeX XMLCite \textit{G. F. Steinke}, Adv. Geom. 6, No. 3, 339--360 (2006; Zbl 1121.51008) Full Text: DOI
Steinke, Günter F. Elation Laguerre planes of order 16 are ovoidal. (English) Zbl 1099.51003 J. Comb. Des. 14, No. 4, 313-323 (2006). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 51B15 51E25 PDFBibTeX XMLCite \textit{G. F. Steinke}, J. Comb. Des. 14, No. 4, 313--323 (2006; Zbl 1099.51003) Full Text: DOI Link
Steinke, Günter F. A family of flat Minkowski planes admitting 3-dimensional simple groups of automorphisms. (English) Zbl 1067.51008 Adv. Geom. 4, No. 3, 319-340 (2004). Reviewer: Horst Szambien (Garbsen) MSC: 51H15 51B20 51H20 57S99 PDFBibTeX XMLCite \textit{G. F. Steinke}, Adv. Geom. 4, No. 3, 319--340 (2004; Zbl 1067.51008) Full Text: DOI EuDML Link
Löwen, R.; Steinke, G. F.; Van Maldeghem, H. Affine line systems in finite-dimensional vector spaces. (English) Zbl 1043.51010 Adv. Geom. 2003, Spec. Issue, S59-S74 (2003). Reviewer: Markus Stroppel (Stuttgart) MSC: 51H10 51A05 51A40 PDFBibTeX XMLCite \textit{R. Löwen} et al., Adv. Geom. 2003, S59--S74 (2003; Zbl 1043.51010) Full Text: DOI EuDML Link
Steinke, Günter F. A classification of Laguerre near-planes of order four. (English) Zbl 1003.51003 Australas. J. Comb. 25, 145-166 (2002). Reviewer: Richard Bödi (Rüschlikon) MSC: 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Australas. J. Comb. 25, 145--166 (2002; Zbl 1003.51003)
Steinke, Günter F. Finite Laguerre near-planes of odd order admitting Desarguesian derivations. (English) Zbl 0959.51007 Eur. J. Comb. 21, No. 4, 543-554 (2000). Reviewer: L.Teirlinck (Auburn) MSC: 51B15 05B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Eur. J. Comb. 21, No. 4, 543--554 (2000; Zbl 0959.51007) Full Text: DOI Link
Löwen, R.; Steinke, G. F. Nonclassical 4-dimensional Minkowski planes obtained as brothers of semiclassical 4-dimensional Laguerre planes. (English) Zbl 1035.51007 Geom. Dedicata 72, No. 2, 143-169 (1998). MSC: 51H15 51H10 PDFBibTeX XMLCite \textit{R. Löwen} and \textit{G. F. Steinke}, Geom. Dedicata 72, No. 2, 143--169 (1998; Zbl 1035.51007) Full Text: DOI
Polster, Burkard; Rosehr, Nils; Steinke, Günter F. Half-ovoidal flat Laguerre planes. (English) Zbl 0889.51005 J. Geom. 60, No. 1-2, 113-126 (1997). Reviewer: R.Bödi (Tübingen) MSC: 51B15 51A10 PDFBibTeX XMLCite \textit{B. Polster} et al., J. Geom. 60, No. 1--2, 113--126 (1997; Zbl 0889.51005) Full Text: DOI
Polster, B.; Rosehr, N.; Steinke, G. F. On the existence of topological ovals in flat projective planes. (English) Zbl 0876.51002 Arch. Math. 68, No. 5, 418-429 (1997). Reviewer: H.Salzmann (Tübingen) MSC: 51H10 PDFBibTeX XMLCite \textit{B. Polster} et al., Arch. Math. 68, No. 5, 418--429 (1997; Zbl 0876.51002) Full Text: DOI Link
Polster, Burkhard; Steinke, Günter F. Criteria for two-dimensional circle planes. (English) Zbl 0821.51013 Beitr. Algebra Geom. 35, No. 2, 181-191 (1994). Reviewer: A.Schroth (Braunschweig) MSC: 51H15 51B10 51B15 51B20 PDFBibTeX XMLCite \textit{B. Polster} and \textit{G. F. Steinke}, Beitr. Algebra Geom. 35, No. 2, 181--191 (1994; Zbl 0821.51013) Full Text: EuDML EMIS
Steinke, Günter F. A family of 2-dimensional Minkowski planes with small automorphism groups. (English) Zbl 0812.51009 Result. Math. 26, No. 1-2, 131-142 (1994). Reviewer: M.Stroppel (Darmstadt) MSC: 51H15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Result. Math. 26, No. 1--2, 131--142 (1994; Zbl 0812.51009) Full Text: DOI
Glynn, D. G.; Steinke, G. F. Pencils of translation ovals in translation planes. (English) Zbl 0813.51004 Geom. Dedicata 51, No. 2, 113-121 (1994). Reviewer: A.Pott (Augsburg) MSC: 51A40 51E15 PDFBibTeX XMLCite \textit{D. G. Glynn} and \textit{G. F. Steinke}, Geom. Dedicata 51, No. 2, 113--121 (1994; Zbl 0813.51004) Full Text: DOI
Glynn, D. G.; Steinke, G. F. Laguerre planes of even order and translation ovals. (English) Zbl 0809.51006 Geom. Dedicata 51, No. 2, 105-112 (1994). Reviewer: A.Schroth (Braunschweig) MSC: 51B15 51E25 51A40 PDFBibTeX XMLCite \textit{D. G. Glynn} and \textit{G. F. Steinke}, Geom. Dedicata 51, No. 2, 105--112 (1994; Zbl 0809.51006) Full Text: DOI
Steinke, G. F. Elation Laguerre planes of order \(p^ 2\) that admit an automorphism group of order \(p^ 2\) in the elation complement. (English) Zbl 0806.51005 Australas. J. Comb. 8, 77-98 (1993). Reviewer: G.Pica (Napoli) MSC: 51B15 51E25 PDFBibTeX XMLCite \textit{G. F. Steinke}, Australas. J. Comb. 8, 77--98 (1993; Zbl 0806.51005)
Steinke, Günter F. A remark on Benz planes of order 9. (English) Zbl 0770.51006 Ars Comb. 34, 257-267 (1992). Reviewer: H.Karzel (München) MSC: 51B10 51B15 51B20 PDFBibTeX XMLCite \textit{G. F. Steinke}, Ars Comb. 34, 257--267 (1992; Zbl 0770.51006)
Steinke, Günter F. The point space of 4-dimensional Laguerre planes. (English) Zbl 0721.51017 Arch. Math. 56, No. 1, 100-104 (1991). Reviewer: M.Uscki (Toruń) MSC: 51H15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Arch. Math. 56, No. 1, 100--104 (1991; Zbl 0721.51017) Full Text: DOI
Steinke, Günter F. The elation group of a 4-dimensional Laguerre plane. (English) Zbl 0746.51008 Monatsh. Math. 111, No. 3, 207-231 (1991). Reviewer: M.Uscki (Toruń) MSC: 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Monatsh. Math. 111, No. 3, 207--231 (1991; Zbl 0746.51008) Full Text: DOI EuDML
Steinke, Günter F. On the structure of finite elation Laguerre planes. (English) Zbl 0737.51003 J. Geom. 41, No. 1-2, 162-179 (1991). Reviewer: M.Uscki (Toruń) MSC: 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, J. Geom. 41, No. 1--2, 162--179 (1991; Zbl 0737.51003) Full Text: DOI
Steinke, Günter F. On the structure of the automorphism group of 2-dimensional Laguerre planes. (English) Zbl 0749.51018 Geom. Dedicata 36, No. 2-3, 389-404 (1990). Reviewer: Hermann Hähl (Kiel) MSC: 51H15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Geom. Dedicata 36, No. 2--3, 389--404 (1990; Zbl 0749.51018) Full Text: DOI
Steinke, G. F. 2-dimensional Minkowski planes and desarguesian derived affine planes. (English) Zbl 0723.51005 Abh. Math. Semin. Univ. Hamb. 60, 61-69 (1990). Reviewer: N.Knarr (Braunschweig) MSC: 51H15 51B20 PDFBibTeX XMLCite \textit{G. F. Steinke}, Abh. Math. Semin. Univ. Hamb. 60, 61--69 (1990; Zbl 0723.51005) Full Text: DOI
Steinke, Günter F. Topological properties of locally compact connected Minkowski planes and their derived affine planes. (English) Zbl 0706.51012 Geom. Dedicata 32, No. 3, 341-351 (1989). Reviewer: H.J.Groh MSC: 51H10 51H15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Geom. Dedicata 32, No. 3, 341--351 (1989; Zbl 0706.51012) Full Text: DOI
Steinke, Günter F. Semiclassical topological flat Laguerre planes obtained by pasting along two parallel classs. (English) Zbl 0659.51021 J. Geom. 32, No. 1-2, 133-156 (1988). Reviewer: N.Knarr MSC: 51H15 51B15 PDFBibTeX XMLCite \textit{G. F. Steinke}, J. Geom. 32, No. 1--2, 133--156 (1988; Zbl 0659.51021) Full Text: DOI
Steinke, Günter F. Semiclassical topological Möbius planes. (English) Zbl 0588.51019 Result. Math. 9, 166-188 (1986). Reviewer: R.Löwen MSC: 51H15 22E10 22E15 PDFBibTeX XMLCite \textit{G. F. Steinke}, Result. Math. 9, 166--188 (1986; Zbl 0588.51019) Full Text: DOI
Steinke, Günter F. Topological affine planes composed of two desarguesian halfplanes and projective planes with trivial collineation group. (English) Zbl 0564.51006 Arch. Math. 44, 472-480 (1985). Reviewer: H. J. Groh (Darmstadt) MSC: 51H10 PDFBibTeX XMLCite \textit{G. F. Steinke}, Arch. Math. 44, 472--480 (1985; Zbl 0564.51006) Full Text: DOI
Steinke, Günter F. Locally miquelian Benz planes. (English) Zbl 0556.51004 Abh. Math. Semin. Univ. Hamb. 54, 141-161 (1984). Reviewer: H.Groh MSC: 51H15 51B05 PDFBibTeX XMLCite \textit{G. F. Steinke}, Abh. Math. Semin. Univ. Hamb. 54, 141--161 (1984; Zbl 0556.51004) Full Text: DOI
Steinke, Guenter Locally classical topological Benz planes are classical. (English) Zbl 0494.51004 Math. Z. 183, 217-220 (1983). MSC: 51B05 51H15 51B10 51B15 51B20 PDFBibTeX XMLCite \textit{G. Steinke}, Math. Z. 183, 217--220 (1983; Zbl 0494.51004) Full Text: DOI EuDML