The translation planes of order 49 and their automorphism groups

Mathematics of Computation

Volumn 67, Issue 223, 1998, Pages 1207-1224

  Charnes, C ^a   Dempwolff, U ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032399035     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-98-00961-2     Document Type: Article

References (17)

1. A. Aho, B. W. Kernighan and P. J. Weinberger. The AWK Programming Language. Addison-Wesley, Reading, Mass., 1988.
2. R. D. Baker and G. L. Ebert, Construction of two-dimensional flag-transitive planes. Geom. Dedicata, 27 (1988), 9-14. MR 89f:51017
3. O. Charnes, Ph.D. thesis, Cambridge University, 1989.
4. 2. Coding Theory, Design Theory, Group Theory, Proceedings of the M. Hall Conference (Eds. D. Jungnickel, S.A. Vanstone), J. Wiley and Sons, Inc. New York, 1993, pp.155-161. MR 94h:51016
5. C. Charnes, A pair of mutually polar translation planes. Ars. Comb., 37 (1994), 121-128. MR 95d:05028
6. C. Charnes and U. Dempwolff, Involutory homologies and translation planes of order 49. Abstracts Australian Mathematical Society Annual Conference, University of Wollongong, July 5-9, 1993.
7. 5, Geom. Dedicata, 56 (1995), 129-143.
8. 8. Geom. Dedicata, 26 (1988), 157-170.
9. P. Dembowski, Finite Geometries. Springer-Verlag, Berlin, 1968.
10. U. Dempwolff, Translation planes of order 27. Designs, Codes and Cryptography, 4 (1994), 105-121.
11. G. Heimbeck, Translationsebenen der Ordnung 49 mit einer Quaternionengruppe von Dehnungen. Journal of Geometry, 44 (1992), 65-76.
12. G. Heimbeck, Translationsebenen der Ordnung 49 mit Scherungen. Geom. Dedicata, 27 (1988), 87-100.
13. U. Dempwolff and A. Reifart, The classification of the translation planes of order 16 I, Geom. Dedicata, 15 (1983), 137-153.
14. H. Lüneburg, Translation Planes. Springer-Verlag, Berlin, New York, 1980.
15. R. Mathon and G. Royle, The translation planes of order 49. Designs, Codes and Cryptography, 5 (1995), 57-72.
16. M. Schönert et al., GAP Groups, Algorithms and Programming 3.3, Lehrstuhl D für Mathematik, RWTH Aachen, 1993.
17. + (8, 7). Algebras, Groups and Geometries, 2 (1985), 495-513.