Mathematics and Statistics

Mathematics and Statistics

To

Research

Teaching

Affiliations

Günter SteinkeAssoc Prof Günter Steinke

Associate Professor


Department of Mathematics and Statistics
University of Canterbury
Private Bag 4800
Christchurch 8140, NEW ZEALAND

Room 603, Erskine Building
Telephone: +64 3 364 2987 ext 7680
Fax: +64 3 364 2587
Email: gunter.steinke@canterbury.ac.nz


Research Interests

Geometry. topology, groups, combinatorics; in particular, topological and finite geometries and their automorphism groups.

I am offering a number of Master's and PhD Thesis Projects in these areas. More are available on request.


Recent Publications

  • J. Schillewaert and G.F. Steinke. A flat Laguerre plane of Kleinewillinghöfer type V. J. Austral. Math. Soc. 91, 257--274 (2011). DOI 10.1017/S1446788711001534 PDF
  • J. Schillewaert and G.F. Steinke. Flat Laguerre planes of Kleinewillinghöfer type III.B. Adv. Geom. 11 (2011), 637-652. PDF DOI 10.1515/ADVGEOM.2011.038
  • G.F. Steinke and H. Van Maldeghem. Generalized Quadrangles and Projective Axes of Symmetry. Beitr. Algebra Geom. 51 (2010), 191-207. PDF
  • G.F. Steinke. A characterisation of certain elation Laguerre planes in terms of Kleinewillinghöfer types. Result. Math. 57 (2010), 43-51. PDF DOI 10.1007/s00025-009-0004-x
  • G.F. Steinke. Sisters of some 4-dimensional elation Laguerre planes of group dimension 10. Monatsh. Math. 159 (2010), 407-423. PDF DOI 10.1007/s00605-009-0107-1
  • R. Löwen, E. Soytürk and G.F. Steinke. Blowing up points and embedding flat stable planes in the nonorientable compact surface of genus one. Topology Appl. 155 (2008), 1041-1055. PDF
  • G.F. Steinke. On the Klein-Kroll types of flat Minkowski planes. J. Geom. 87 (2007), 160-178. PDF
  • G.F. Steinke. More on Kleinewillinghöfer types of flat Laguerre planes. Result. Math. 51 (2007), 111-126. PDF
  • B. Polster and G.F. Steinke. Virtual points and separating sets in spherical circle planes. Beitr. Algebra Geom. 48 (2007), 443-467.
  • R. Löwen and G.F. Steinke. Actions of R ⋅ SL2R~ on Laguerre planes related to the Moulton planes. J. Lie Th. 17 (2007), 685-708. PDF
  • G.F. Steinke. The automorphism groups of the Laguerre near-planes of order four. Australas. J. Combin. 36 (2006), 249-263.
  • G.F. Steinke. A classification of 4-dimensional elation Laguerre planes of group dimension 10. Adv. Geom. 6 (2006), 339-360.
  • G.F. Steinke. Elation Laguerre planes of order 16 are ovoidal. J. Combin. Designs 14 (2006), 313-323.
  • G.F. Steinke. A note on Laguerre translations. Innovations in Incidence Geom. 2 (2005), 93-100.
  • G.F. Steinke. Flat Laguerre planes admitting 4-dimensional groups of automorphisms that fix at least two parallel classes. Abh. Math. Sem. Univ. Hamburg 75 (2005), 163-177.
  • G.F. Steinke. Flat Laguerre planes of Kleinewillinghöfer type E obtained by cut and paste. Bull. Austr. Math. Soc. 72 (2005), 213-223. DOI:10.1017/S0004972700035024
  • B. Polster and G.F. Steinke. On the Kleinewillinghöfer types of flat Laguerre planes. Results Math. 46 (2004), 103-122.
  • G.F. Steinke. A family of flat Minkowski planes admitting 3-dimensional simple groups of automorphisms. Adv. Geom. 4 (2004), 319-340.
  • R. Löwen, G.F. Steinke and H. Van Maldeghem. Affine line systems in vector spaces. Adv. Geom., Special Issue (2003), S59-S74.
  • G.F. Steinke. Finite Laguerre planes of order 8 are ovoidal. J. Combin. Th., Series A, 102 (2003), 143-162.
  • G.F. Steinke. 4-dimensional elation Laguerre planes admitting non-solvable automorphism groups. Monatsh. Math. 136 (2002), 327-354.
  • G.F. Steinke. On 2-dimensional Laguerre planes of shift type. Arch. Math. 78 (2002), 485-496.
  • G.F. Steinke. A classification of Laguerre near-planes of order four. Australasian J. Combin. 25 (2002), 145-166.