On the resolvability of Hall triple systems

Martin Oxenham; Rey Casse

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 3, page 639-649
  • ISSN: 0392-4041

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Oxenham, Martin, and Casse, Rey. "On the resolvability of Hall triple systems." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 639-649. <http://eudml.org/doc/194959>.

@article{Oxenham1998,
author = {Oxenham, Martin, Casse, Rey},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Hall triple system; resolvable},
language = {eng},
month = {10},
number = {3},
pages = {639-649},
publisher = {Unione Matematica Italiana},
title = {On the resolvability of Hall triple systems},
url = {http://eudml.org/doc/194959},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Oxenham, Martin
AU - Casse, Rey
TI - On the resolvability of Hall triple systems
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 639
EP - 649
LA - eng
KW - Hall triple system; resolvable
UR - http://eudml.org/doc/194959
ER -

References

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  2. BENETEAU, L., Topics about Moufang loops and Hall triple systems, Simon Stevin, 54 no. 2 (1980), 107-124. Zbl0434.05014MR572930
  3. BENETEAU, L., Hall triple systems and related topics, Ann. Discrete Maths., 18 (1983), 55-60. Zbl0503.05008MR695797
  4. BRUCK, R. H., Contribution to the theory of loops, Trans. Amer. Math. Soc., 60 (1946), 245-354. Zbl0061.02201MR17288
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  6. FUJI-HARA, R.- VANSTONE, S. A., Affine geometries obtained from projective planes and skew resolutions of A ⁢ G ⁢ 3 , q , Ann. Discrete Math., 18 (1983), 355-376. Zbl0504.05014MR695823
  7. FUJI-HARA, R.- VANSTONE, S. A., Hyperplane skew resolutions and their applications, J. Combin. Theory A, 47 (1988), 134-144. Zbl0635.51007MR924456
  8. GUPTA, N., On groups in which every element has finite order, Amer. Math. Monthly, 96, no. 4 (1989), 297-308. Zbl0822.20042MR992077
  9. HALL, J. I., On the order of Hall triple systems, J. Combin. Theory A, 29 (1980), 261-262. Zbl0445.05023MR583969
  10. HALL, M. JR., Theory of groups, Chelsea Publishing Company (1959). Zbl0354.20001MR414669
  11. HALL, M. JR., Automorphisms of Steiner triple systems, I.B.M. J. Res. Develop., 4 (1960), 460-471. Zbl0100.01803MR123961
  12. HALL, M. JR., Group theory and block designs, in Proceedings, International Conference on the Theory of Groups, Canberra, Gordon and Breach, New York (1965). Zbl0323.20011MR219432
  13. HALL, M. JR., Incidence axioms for affine geometries, J. Algebra, 21 (1972), 535-547. Zbl0252.50010MR317160
  14. OXENHAM, M. G., On n -covers of P ⁢ G ⁢ 3 , q and related structures, Doctoral Thesis, University of Adelaide (1991). 
  15. RAY-CHAUDHURI, D. K.- ROTH, R., Hall triple systems and commutative Moufang exponent 3 loops: the case of nilpotence class 2, J. Combin. Theory A, 36 (1984), 129-162. Zbl0527.05018MR734973

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