Semi-translation planes
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- by T. G. Ostrom PDF
- Trans. Amer. Math. Soc. 111 (1964), 1-18 Request permission
References
- A. A. Albert, The finite planes of Ostrom, Bol. Soc. Mat. Mexicana (2) 11 (1966), 1–13. MR 231271
- Johannes André, Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe, Math. Z. 60 (1954), 156–186 (German). MR 63056, DOI 10.1007/BF01187370
- Johannes André, Affine Ebenen mit genügend vielen Translationen, Math. Nachr. 19 (1958), 203–210 (German). MR 105049, DOI 10.1002/mana.19580190117
- Andrew M. Gleason, Finite Fano planes, Amer. J. Math. 78 (1956), 797–807. MR 82684, DOI 10.2307/2372469
- Marshall Hall, Projective planes, Trans. Amer. Math. Soc. 54 (1943), 229–277. MR 8892, DOI 10.1090/S0002-9947-1943-0008892-4
- Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
- D. R. Hughes, A class of non-Desarguesian projective planes, Canadian J. Math. 9 (1957), 378–388. MR 87960, DOI 10.4153/CJM-1957-045-0
- T. G. Ostrom, Translation planes and configurations in Desarguesian planes, Arch. Math. 11 (1960), 457–464. MR 143099, DOI 10.1007/BF01236975
- T. G. Ostrom, A class of non-Desarguesian affine planes, Trans. Amer. Math. Soc. 104 (1962), 483–487. MR 141001, DOI 10.1090/S0002-9947-1962-0141001-1
- E. T. Parker, On collineations of symmetric designs, Proc. Amer. Math. Soc. 8 (1957), 350–351. MR 86319, DOI 10.1090/S0002-9939-1957-0086319-X
- 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
- Luigi Antonio Rosati, I gruppi di collineazioni dei piani di Hughes, Boll. Un. Mat. Ital. (3) 13 (1958), 505–513 (Italian, with English summary). MR 0100817
- Guido Zappa, Sui gruppi di collineazioni dei piani di Hughes, Boll. Un. Mat. Ital. (3) 12 (1957), 507–516 (Italian). MR 0090817 H. Zassenhaus, Über endliche Fastkörper, Abh. Math. Sem. Univ. Hamburg 11 (1935) 187-220.
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 111 (1964), 1-18
- MSC: Primary 50.70
- DOI: https://doi.org/10.1090/S0002-9947-1964-0159255-6
- MathSciNet review: 0159255