A flag transitive plane of order $49$
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- by M. L. Narayana Rao
- Proc. Amer. Math. Soc. 32 (1972), 256-262
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290244-7
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Abstract:
A non-Desarguesian translation plane of order 49, whose collineation group is transitive on the ideal points, is constructed.References
- Johannes André, Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe, Math. Z. 60 (1954), 156–186 (German). MR 63056, DOI 10.1007/BF01187370
- R. H. Bruck and R. C. Bose, The construction of translation planes from projective spaces, J. Algebra 1 (1964), 85–102. MR 161206, DOI 10.1016/0021-8693(64)90010-9
- P. Dembowski, Finite geometries, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 44, Springer-Verlag, Berlin-New York, 1968. MR 0233275
- David A. Foulser, Solvable flag transitive affine groups, Math. Z. 86 (1964), 191–204. MR 170956, DOI 10.1007/BF01110390
- 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
- Günter Pickert, Projektive Ebenen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Band LXXX, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). MR 0073211
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 256-262
- MSC: Primary 50.70
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290244-7
- MathSciNet review: 0290244