A class of translation planes and a conjecture of D. R. Hughes
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- by F. W. Wilke
- Trans. Amer. Math. Soc. 145 (1969), 223-232
- DOI: https://doi.org/10.1090/S0002-9947-1969-0250187-6
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References
- Johannes André, Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe, Math. Z. 60 (1954), 156–186 (German). MR 63056, DOI 10.1007/BF01187370
- Johannes André, Über Perspektivitäten in endlichen projektiven Ebenen, Arch. Math. 6 (1954), 29–32 (German). MR 67505, DOI 10.1007/BF01899208
- David A. Foulser, A generalization of André’s systems, Math. Z. 100 (1967), 380–395. MR 227852, DOI 10.1007/BF01110421
- Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
- D. R. Hughes, Review of some results in collineation groups, Proc. Sympos. Pure Math., Vol. 1, American Mathematical Society, Providence, R.I., 1959, pp. 42–55. MR 0116258
- Donald E. Knuth, Finite semifields and projective planes, J. Algebra 2 (1965), 182–217. MR 175942, DOI 10.1016/0021-8693(65)90018-9
- F. W. Wilke and J. L. Zemmer, Some new finite translation planes, Trans. Amer. Math. Soc. 131 (1968), 378–397. MR 223974, DOI 10.1090/S0002-9947-1968-0223974-7
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 145 (1969), 223-232
- MSC: Primary 50.70
- DOI: https://doi.org/10.1090/S0002-9947-1969-0250187-6
- MathSciNet review: 0250187