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Bulletin of the American Mathematical Society

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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, Springer-Verlag, Berlin and New York, 1968. MR 233275
  • 2. D. Foulser, Replaceable translation nets, Proc. London Math. Soc. 22 (1971), 235-264. MR 291935
  • 3. C. Hering, A new class of quasifields, Math. Z. 118 (1970), 56-57. MR 285415
  • 4. C. Hering, On shears of translation planes, Abh. Math. Sem. Ham. 37 (1972), 258-268. MR 305223
  • 5. D. R. Hughes and F. C. Piper, Projective planes, Springer-Verlag, Berlin and New York, 1973. MR 333959
  • 6. M. J. Kallaher, On finite affine planes of rank 3, J. Algebra 13 (1969), 544-553. MR 247567
  • 7. M. J. Kallaher, A survey of weak rank 2 affine planes, Proc. Internat. Conf. on Projecture Planes, (M. J. Kallaher and T. G. Ostrom (eds.)), Wash. St. Univ. Press, Pullman, Washington, 1973. MR 362035
  • 8. M. J. Kallaher and T. G. Ostrom, Collineation groups irreducible on the components of a translation plane, Geom. Dedicata 9 (1980), 153-194. MR 578195
  • 9. R. A. Liebler, Finite affine planes of rank three are translation planes, Math. Z. 116 (1970), 89-93. MR 266039
  • 10. R. A. Liebler, On finite line transitive affine planes of rank 3, Proc. Internat. Conf. on projective Planes, Wash. St. Univ. Press, Pullman, Washington, 1973. MR 362036
  • 11. T. G. Ostrom, Linear transformations and collineations of translation planes, J. Algebra 14 (1970), 405-416. MR 261436
  • 12. T. G. Ostrom, Finite translation planes, Lecture Notes in Math., vol. 158, Springer-Verlag, Berlin and New York, 1970. MR 275274
  • 13. T. G. Ostrom, Classification of finite translation planes, Proc. Internat. Conf. on Projective Planes, Wash. St. Univ. Press, Pullman, Washington, 1970. MR 362039
  • 14. T. G. Ostrom, Recent advances in finite translation planes, Foundations of Geometry, (P. Scherk (ed.)), Univ. Toronto Press, Toronto, Canada, 1976. MR 400042
  • 15. T. G. Ostrom, Finite translation planes, an exposition, Aequationes Math. 15 (1977), 121-133. MR 461262
  • 16. U. Ott, Über eine neue Klasse endlicher Translationsebene, Math. Z. 143 (1975), 181-185. MR 388237
  • 17. G. Pickert, Projektive Ebenen, Springer-Verlag, Berlin and New York, 1955. MR 73211
  • 18. A. Wagner, On finite affine line transitive planes, Math. Z. 87 (1965), 1-11. MR 172165

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
American Mathematical Society