Orthomorphisms of dihedral groups

Discrete Mathematics

Volumn 167-168, Issue , 1997, Pages 141-144

  Bowler, Andrew ^a  

^a UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039383840     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(96)00222-1     Document Type: Article

References (15)

1. D. Bedford, Orthomorphisms and near orthomorphisms of groups and orthogonal latin squares: a survey, Bull. Inst. Combin. Appl. 15 (1995) 13-33.
2. R.C. Bose, I.M. Chakravarti and D.E. Knuth, On methods of constructing sets of mutually orthogonal latin squares using a computer I, Technometrics 2 (1960) 507-516.
3. R.C. Bose, I.M. Chakravarti and D.E. Knuth, On methods of constructing sets of mutually orthogonal latin squares using a computer II, Technometrics 3 (1961) 111-117.
4. L.Q. Chang and S.S. Tai, On the orthogonal relations among orthomorphisms of non-commutative groups of small orders, Acta Math. Sinica 14 (1964) 471-480. (Translation: Chinese Math. Acta 5 (1964) 506-515.)
5. L.Q. Chang, K. Hsiang and S. Tai, Congruent mappings and congruence classes of orthomorphisms of groups, Acta Math. Sinica 14 (1964) 747-756. (Translation: Chinese Math. Acta 5 (1965) 141-152.)
6. J. Dénes and A.D. Keedwell, Latin Squares and Their Applications (Akadémiai Kiadó, Budapest; Academic Press, New York; English Universities Press, London, 1974).
7. A.L. Dulmage, D.M. Johnson and N.S. Mendelsohn, Orthomorphisms of groups and orthogonal latin squares I, Canad. J. Math. 13 (1961) 356-372.
8. A.B. Evans, Orthomorphism graphs of groups, Lecture Notes in Mathematics, vol. 1535 (Springer, Berlin, 1992).
9. M. Hall and L.J. Paige, Complete mappings of finite groups, Pacific J. Math. 5 (1955) 541-549.
10. G. Grams and D. Jungnickel, Maximal difference matrices of order ≤ 10, Discrete Math. 58 (1986) 199-203.
11. h-sequenceability of groups, Ann. Discrete Math. 18 (1983) 535-548.
12. H.B. Mann, The construction of orthogonal latin squares, Ann. Math. Statist. 13 (1942) 418-423.
13. H.B. Mann, On orthogonal latin squares, Bull. Amer. Math. Soc. 50 (1944) 249-257.
14. L.J. Paige, Complete mappings of finite groups, Pacific J. Math. 1 (1951) 111-116.
15. P.J. Schellenberg, G.H.J. Van Rees and S.A. Vanstone, Four pairwise orthogonal latin squares of order 15, Ars Combin. 6 (1978) 141-150.