On the planar translation structures

Mauro Biliotti; Giuseppe Micelli

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 87, page 1-17
  • ISSN: 0041-8994

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Biliotti, Mauro, and Micelli, Giuseppe. "On the planar translation structures." Rendiconti del Seminario Matematico della Università di Padova 87 (1992): 1-17. <http://eudml.org/doc/108250>.

@article{Biliotti1992,
author = {Biliotti, Mauro, Micelli, Giuseppe},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {planar translation structure; André translation structure; translation group; dilatation group; Frobenius group},
language = {eng},
pages = {1-17},
publisher = {Seminario Matematico of the University of Padua},
title = {On the planar translation structures},
url = {http://eudml.org/doc/108250},
volume = {87},
year = {1992},
}

TY - JOUR
AU - Biliotti, Mauro
AU - Micelli, Giuseppe
TI - On the planar translation structures
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 87
SP - 1
EP - 17
LA - eng
KW - planar translation structure; André translation structure; translation group; dilatation group; Frobenius group
UR - http://eudml.org/doc/108250
ER -

References

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  1. [1] J. André, Uber nicht-Desarguessche Ebenen mit transitiver Translationsgruppe, Math. Z., 60 (1954), pp. 156-186. Zbl0056.38503MR63056
  2. [2] J. André, Uber Parallelstrukturen, Teil I.: Grundbegriffe, Math. Z., 76 (1961), pp. 85-102. Zbl0099.15401MR138025
  3. [3] J. André, Uber Parallelstrukturen, Teil Ii: Grundbegriffe, Math. Z., 76 (1961), pp. 155-163. Zbl0099.15401MR138026
  4. [4] R. Baer, Partitionen abelscher Gruppen, Arch. Math., 14 (1963), pp. 73-83. Zbl0113.25403MR148742
  5. [5] L.M. Batten, Locally generalized projective lattices satisfying a bundle theorem, Geom. Dedicata, 22 (1987), pp. 363-369. Zbl0615.51002MR887582
  6. [6] M. BILIOTTI, S-spazi ed O-partitizioni, Boll. Un. Mat. It. (3), 14-A (1977), pp. 333-342. Zbl0354.50007MR491244
  7. [7] M. Biliotti, Sulle strutture di traslazione, Boll. Un. Mat. It. (5), 15-A (1978), pp. 667-677. Zbl0393.51001
  8. [8] M. Crismale - G. Micelli, Su una classe di strutture di André di traslazione, Atti Sem. Mat. Fis. Univ. Modena, 31 (1982), pp. 332-340. Zbl0542.51016MR742679
  9. [9] A. Herzer, Construction of some planar translation spaces, Ann. Discr. Math., 37 (1988), pp. 209-216. Zbl0651.51006MR931320
  10. [10] B. Huppert, Endliche Gruppen I, Springer, Berlin -Heidelberg-New York (1967). Zbl0217.07201MR224703
  11. [11] R.H. Schulz, Uber Blockplane mit transitiver Dilatationsgruppe, Math. Z., 98 (1967), pp. 60-82. Zbl0147.38904MR218968
  12. [12] R.H. Schulz, On a conjecture of Herzer concerning linear partitions, J. Geometry, 26 (1986), pp. 186-190. Zbl0611.20018MR850164

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