On translation transversal designs

Mauro Biliotti; Giuseppe Micelli

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 217-229
  • ISSN: 0041-8994

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Biliotti, Mauro, and Micelli, Giuseppe. "On translation transversal designs." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 217-229. <http://eudml.org/doc/107980>.

@article{Biliotti1985,
author = {Biliotti, Mauro, Micelli, Giuseppe},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {transversal translation design; TTD; group partitions; Frobenius group; admissible triad},
language = {eng},
pages = {217-229},
publisher = {Seminario Matematico of the University of Padua},
title = {On translation transversal designs},
url = {http://eudml.org/doc/107980},
volume = {73},
year = {1985},
}

TY - JOUR
AU - Biliotti, Mauro
AU - Micelli, Giuseppe
TI - On translation transversal designs
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 217
EP - 229
LA - eng
KW - transversal translation design; TTD; group partitions; Frobenius group; admissible triad
UR - http://eudml.org/doc/107980
ER -

References

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  1. [1] J. André, Über parallelstrukturen, Teil II: Translationstrukturen, Math. Z., 76 (1961), pp. 155-163. Zbl0099.15401MR138026
  2. [2] T. Bu, Partitions of a vector space, Discr. Math., 31 (1980), pp. 79-83. Zbl0445.15004MR578063
  3. [3] A. Herzer, Endliche nichtkommutative Gruppen mit Partition π und fixpunktfreiem π-Automorphismus, Arch. Math.(Basel), 34 (1980), pp. 385-392. Zbl0431.51001
  4. [4] D. Jungnickel, On difference matrices, resolvable transversal designs and generalized Hadamard matrices, Math. Z., 167 (1979), pp. 49-60. Zbl0387.05003MR532885
  5. [5] D. Jungnickel, On difference matrices and regular Latin squares, Abh. Math. Sem. Hamburg, 50 (1980), pp. 219-231. Zbl0404.05012MR593752
  6. [6] D. Jungnickel, Existence results for translation nets, L.M.S. Lecture Note, 49 (1981), pp. 172-196. Zbl0457.05011MR627499
  7. [7] D. Jungnickel, Transversal designs associated with Frobenius groups, J. Geometry, 17 (1981), pp. 140-154. Zbl0475.05016MR646555
  8. [8] R.-H. Schulz, Über Blockplane mit transitiver Dilatationsgruppe, Math. Z., 98 (1967), pp. 60-82. Zbl0147.38904MR218968
  9. [9] R.-H. Schulz, Transversal designs and partitions associated with Frobenius groups, J. Reine Ang. Math. (to appear). Zbl0546.05015MR772488
  10. [10] R.-H. Schulz, Transversal designs and Hughes-Thompson groups, Mitt. Math. Sem. Giessen, 165 (1984), pp. 185-197. Zbl0539.05021MR745880
  11. [11] G. Zappa, Partizioni ed S-partizioni dei gruppi finiti, Symposia MateMatica, Ist. Naz. di Alta Matem., 1 (1968), 85-94. Zbl0219.20019MR252501

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