The group of projectivities in free-like geometries

A. Barlotti; E. Schreiber; K. Strambach

Rendiconti del Seminario Matematico della Università di Padova (1978)

  • Volume: 60, page 183-200
  • ISSN: 0041-8994

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Barlotti, A., Schreiber, E., and Strambach, K.. "The group of projectivities in free-like geometries." Rendiconti del Seminario Matematico della Università di Padova 60 (1978): 183-200. <http://eudml.org/doc/107697>.

@article{Barlotti1978,
author = {Barlotti, A., Schreiber, E., Strambach, K.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {transitive groups of projectivities; free planes},
language = {eng},
pages = {183-200},
publisher = {Seminario Matematico of the University of Padua},
title = {The group of projectivities in free-like geometries},
url = {http://eudml.org/doc/107697},
volume = {60},
year = {1978},
}

TY - JOUR
AU - Barlotti, A.
AU - Schreiber, E.
AU - Strambach, K.
TI - The group of projectivities in free-like geometries
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1978
PB - Seminario Matematico of the University of Padua
VL - 60
SP - 183
EP - 200
LA - eng
KW - transitive groups of projectivities; free planes
UR - http://eudml.org/doc/107697
ER -

References

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  1. [1] A. Barlotti, La determinazione del gruppo delle proiettività di una retta in sè in alcuni particolari piani grafici finiti non desarguesiani, Boll. Un. Mat. Ital., 14 (1959), pp. 182-187. Zbl0091.32601MR124811
  2. [2] A. Barlotti, Sul gruppo delle proiettività di una retta in sè nei piani liberi e nei piani aperti, Rend. Sem. Mat. Padova, 34 (1964), pp. 135-159. Zbl0123.37902MR167889
  3. [3] P. Dembowski, Freie und offene projektive Ebenen, Math. Z., 72 (1960), pp. 410-438. Zbl0092.38404MR139993
  4. [4] P. Dembowski, Finite Geometries, Berlin -Heidelberg-New York, Springer-Verlag (1968). Zbl0159.50001MR233275
  5. [5] H. Freudenthal - K. Strambach, Schließungssätze und Projektivitaten in der Mobius- und Laguerregeometrie, Math. Z., 143 (1975), pp. 213-234. Zbl0313.50017MR377692
  6. [6] M. Funk, Gruppen der Projektivitäten in freien Benz-Ebenen, Ph.D.-Thesis, Erlangen (1979). 
  7. [7] H.-R. Halder - W. HEISE, Einführung in die Kombinatorik, Munchen-Wien, Hanser-Verlag (1976). Zbl0357.05003MR498160
  8. [8] M. HallJr., Projective planes, Trans. Amer. Math. Soc., 54 (1943), pp. 229-277. Zbl0060.32209MR8892
  9. [9] W. Heise - K. SÖRENSEN, Freie Minkowski-Ebenenerweiterungen, J. Geometry, 3 (1973), pp. 1-4. Zbl0252.50031MR328770
  10. [10] G. Hessenberg, Grundlagen der Geometrie, Berlin und Leipzig, W. de Gruyter & Co. (1930); II edition, bearbeitet von J. Diller (1967). Zbl0158.39001
  11. [11] R.D. Hughes - F. C. PIPER, Projective planes, New York- Heidelberg-Berlin, Springer-Verlag (1973). Zbl0267.50018MR333959
  12. [12] H.-J. Kroll, Die Gruppe der eigentlichen Projektivitäten in Benz-Ebenen, Geometriae Dedicata, 6 (1977), pp. 407-413. Zbl0375.50021MR467516
  13. [13] G. Pickert, Projektive Ebenen (2 Aufl.), Berlin- Heidelberg-New York, Springer-Verlag (1975). Zbl0307.50001MR370350
  14. [14] A. Schleiermacher, Bemerkungen zum Fundamentalalsatz der projektiven Geometrie, Math. Z., 99 (1967), pp. 299-304. Zbl0145.41004MR217692
  15. [15] A. Schleiermacher, Über projektive Ebenen, in denen jede Projektivität mit sechs Fixpunkten die Identitat ist, Math. Z., 123 (1971), pp. 325-339. Zbl0223.50018MR287428
  16. [16] A. Schleiermacher - K. STRAMBACH, Über die Gruppe der Projektivitäten in nichtgeschlossenen Ebenen, Archiv der Math., 18 (1967), pp. 299-307. Zbl0152.38503MR225226
  17. [17] A. Schleiermacher - K. STRAMBACH, Freie Erweiterungen in der affinen Geometrie und in der Geometrie der Kreise I u. II, Abh. Math. Sem. Univ. Hamburg, 34 (1969-70), pp. 22-37 and 209-226. Zbl0195.22301MR261437
  18. [18] K. Strambach, unpublished lectures noted by H. Krauss, Erlangen (1978). 

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