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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: Heinz Lüneburg
Title: Translation planes
Additional book information: Springer-Verlag, Berlin and New York, 1980, ix + 278 pp., $29.80.

References [Enhancements On Off] (What's this?)

  • 1. P. Dembowski, Finite geometries, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 44, Springer-Verlag, Berlin-New York, 1968. MR 0233275
  • 2. David A. Foulser, Replaceable translation nets, Proc. London Math. Soc. (3) 22 (1971), 235–264. MR 0291935
  • 3. Christoph Hering, A new class of quasifields, Math. Z. 118 (1971), 56–57. MR 0285415
  • 4. Christoph Hering, On shears of translation planes, Abh. Math. Sem. Univ. Hamburg 37 (1972), 258–268. MR 0305223
  • 5. Daniel R. Hughes and Fred C. Piper, Projective planes, Springer-Verlag, New York-Berlin, 1973. Graduate Texts in Mathematics, Vol. 6. MR 0333959
  • 6. Michael J. Kallaher, On finite affine planes of rank 3, J. Algebra 13 (1969), 544–553. MR 0247567
  • 7. Michael J. Kallaher, A survey of weak rank 3 affine planes, Proceedings of the International Conference Projective Planes (Washington State Univ., Pullman, Wash., 1973) Washington State Univ. Press, Pullman, Wash., 1973, pp. 121–143. MR 0362035
  • 8. M. J. Kallaher and T. G. Ostrom, Collineation groups irreducible on the components of a translation plane, Geom. Dedicata 9 (1980), no. 2, 153–194. MR 578195, 10.1007/BF00147435
  • 9. Robert A. Liebler, Finite affine planes of rank three are translation planes, Math. Z. 116 (1970), 89–93. MR 0266039
  • 10. Robert A. Liebler, On finite line transitive affine planes of rank 3, Proceedings of the International Conference on Projective Planes (Washington State Univ., Pullman, Wash., 1973) Washington State Univ. Press, Pullman, Wash., 1973, pp. 165–179. MR 0362036
  • 11. T. G. Ostrom, Linear transformations and collineations of translation planes, J. Algebra 14 (1970), 405–416. MR 0261436
  • 12. T. G. Ostrom, Finite translation planes, Lecture Notes in Mathematics, Vol. 158, Springer-Verlag, Berlin-New York, 1970. MR 0275274
  • 13. T. G. Ostrom, Classification of finite translation planes, Proceedings of the International Conference on Projective Planes (Washington State Univ., Pullman, Wash., 1973) Washington State Univ. Press, Pullman, Wash., 1973, pp. 195–213. MR 0362039
  • 14. T. G. Ostrom, Recent advances in finite translation planes, Foundations of geometry (Proc. Conf., Univ. Toronto, Toronto, Ont., 1974), Univ. Toronto Press, Toronto, Ont., 1976, pp. 183–205. MR 0400042
  • 15. T. G. Ostrom, Finite translation planes, an exposition, Aequationes Math. 15 (1977), no. 2-3, 121–133. MR 0461262
  • 16. Udo Ott, Eine neue Klasse endlicher Translationsebenen, Math. Z. 143 (1975), no. 2, 181–185 (German). MR 0388237
  • 17. Günter Pickert, Projektive Ebenen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd. LXXX, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). MR 0073211
  • 18. Asher Wagner, On finite affine line transitive planes, Math. Z. 87 (1965), 1–11. MR 0172165

Review Information:

Reviewer: T. G. Ostrom
Journal: Bull. Amer. Math. Soc. 4 (1981), 215-218
DOI: https://doi.org/10.1090/S0273-0979-1981-14889-8