The investigation of special maximal collections of the group G = G ( 2 ) × G ( k ) with k even

J.-C. Panayiotopoulos

Archivum Mathematicum (1980)

  • Volume: 016, Issue: 1, page 45-50
  • ISSN: 0044-8753

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Panayiotopoulos, J.-C.. "Recherche des collections speciales maximales du groupe $G=G(2)\times G(k)$, $k$ pair." Archivum Mathematicum 016.1 (1980): 45-50. <http://eudml.org/doc/18018>.

@article{Panayiotopoulos1980,
author = {Panayiotopoulos, J.-C.},
journal = {Archivum Mathematicum},
keywords = {orthogonal permutations},
language = {fre},
number = {1},
pages = {45-50},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Recherche des collections speciales maximales du groupe $G=G(2)\times G(k)$, $k$ pair},
url = {http://eudml.org/doc/18018},
volume = {016},
year = {1980},
}

TY - JOUR
AU - Panayiotopoulos, J.-C.
TI - Recherche des collections speciales maximales du groupe $G=G(2)\times G(k)$, $k$ pair
JO - Archivum Mathematicum
PY - 1980
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 016
IS - 1
SP - 45
EP - 50
LA - fre
KW - orthogonal permutations
UR - http://eudml.org/doc/18018
ER -

References

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  1. R. C. Bose I. M. Chakravarti D. E. Knuth, On Methods of Constructing Sets of Mutually Orthogonal Latin Squares Using a Computer, Technometrics, 2, 1960, 507-516 (1960) MR0125802
  2. H. B. Mann, The construction of orthogonal latin squares, Ann. Math. Stat., 13, 1942, 418-423 (1942) Zbl0060.02706MR0007736
  3. J.-C. Panayiotopoulos, Orthogonal additions of Abelian groups, Aequat. Mathematicae. To appear 
  4. J. Dénes A. D. Keedwell, Latin squares and their applications, London 1974 MR0351850
  5. J.-C. Panayiotopoulos, About latin squares of standard form and of even order, PH. D. dissertation, University of Athens 1976 
  6. C. Berge, Theorie des Graphes et ses applications, Paris 1958 Zbl0214.50804MR0155312
  7. V. DiGiorgio, Application de l'Algèbre de Boole a l'étude des Graphes, Math. et Sciences Humaines, 36, 1971, 33-58 (1971) MR0335366
  8. D. M. Johnson A. L. Dulmage N. S. Mendelsohn, Orthomorphisms of groups and orthogonal Latin squares, Canad. J. Math. 13, 1961, 356-372 (1961) MR0124229

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