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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

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


References:

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


Additional Information:

Reviewer(s):
T. G. Ostrom

Review Information:
Journal: Bull. Amer. Math. Soc. 4 (1981), 215-218.
DOI: 10.1090/S0273-0979-1981-14889-8
PII: S 0273-0979(1981)14889-8


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