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Volumn 15, Issue 3, 2007, Pages 195-209

On orthogonal orthomorphisms of cyclic and non-abelian groups. II

Author keywords

Mols; Non abelian groups; Orthomorphisms

Indexed keywords


EID: 34248176756     PISSN: 10638539     EISSN: 15206610     Source Type: Journal    
DOI: 10.1002/jcd.20138     Document Type: Article
Times cited : (17)

References (27)
  • 1
    • 33646922846 scopus 로고    scopus 로고
    • New Z-cyclic triplewhist frames and triplewhist tournament designs
    • R. J. R. Abel, N. J. Finizio, G. Ge, and M. Greig, New Z-cyclic triplewhist frames and triplewhist tournament designs, Discrete Applied Maths, 154 (2006), No. 12, 1649-1673.
    • (2006) Discrete Applied Maths , vol.154 , Issue.12 , pp. 1649-1673
    • Abel, R.J.R.1    Finizio, N.J.2    Ge, G.3    Greig, M.4
  • 2
    • 22644444309 scopus 로고    scopus 로고
    • Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(υ)
    • R. J. R. Abel and G. Ge, Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(υ), Europ J Combin 26 (2005), 1094-1104.
    • (2005) Europ J Combin , vol.26 , pp. 1094-1104
    • Abel, R.J.R.1    Ge, G.2
  • 3
  • 4
    • 0039704325 scopus 로고
    • Orthomorphisms and near orthomorphisms of groups and orthogonal Latin squares: A survey
    • D. Bedford, Orthomorphisms and near orthomorphisms of groups and orthogonal Latin squares: a survey, Bull Inst Combin Appl 15 (1995), 13-33.
    • (1995) Bull Inst Combin Appl , vol.15 , pp. 13-33
    • Bedford, D.1
  • 5
    • 0346342145 scopus 로고    scopus 로고
    • New and old values for maximal MOLS(n)
    • D. Bedford and R. M. Whitaker, New and old values for maximal MOLS(n), ARS Combin 54 (2000), 255-258.
    • (2000) ARS Combin , vol.54 , pp. 255-258
    • Bedford, D.1    Whitaker, R.M.2
  • 6
    • 0039383840 scopus 로고    scopus 로고
    • Orthomorphisms of dihedral groups
    • A. Bowler, Orthomorphisms of dihedral groups, Discrete Math 167/168 (1997), 141-144.
    • (1997) Discrete Math , vol.167-168 , pp. 141-144
    • Bowler, A.1
  • 7
    • 0001509094 scopus 로고    scopus 로고
    • Recursive constructions for difference matrices and relative difference families
    • M. Buratti, Recursive constructions for difference matrices and relative difference families, J Combin Des 6 (1998), 165-182.
    • (1998) J Combin des , vol.6 , pp. 165-182
    • Buratti, M.1
  • 10
    • 0009229491 scopus 로고
    • Latin squares: New developments in the theory and applications
    • North Holland Publishing Co., Amsterdam
    • J. Dénes and A. D. Keedwell, Latin squares: New developments in the theory and applications, Annals of Discrete Mathematics, volume 46, North Holland Publishing Co., Amsterdam, 1991.
    • (1991) Annals of Discrete Mathematics , vol.46
    • Dénes, J.1    Keedwell, A.D.2
  • 12
    • 0007422633 scopus 로고
    • Orthomorphism graphs of groups
    • Springer-Verlag
    • A. B. Evans, Orthomorphism graphs of groups, Lecture Notes in Mathematics, volume 1535, Springer-Verlag, 1992.
    • (1992) Lecture Notes in Mathematics , vol.1535
    • Evans, A.B.1
  • 13
    • 31244432627 scopus 로고    scopus 로고
    • On orthogonal orthomorphisms of cyclic and non-abelian groups
    • A. B. Evans, On orthogonal orthomorphisms of cyclic and non-abelian groups, Discrete Math 243 (2002), 229-233.
    • (2002) Discrete Math , vol.243 , pp. 229-233
    • Evans, A.B.1
  • 14
    • 1342265862 scopus 로고    scopus 로고
    • One frame and several new infinite families of Z-cyclic whist designs
    • N. J. Finizio, One frame and several new infinite families of Z-cyclic whist designs, Discrete Math 279 (2004), 203-213.
    • (2004) Discrete Math , vol.279 , pp. 203-213
    • Finizio, N.J.1
  • 15
    • 0013260812 scopus 로고    scopus 로고
    • Frame constructions for Z-cyclic triplewhist tournaments
    • G. Ge and L. Zhu, Frame constructions for Z-cyclic triplewhist tournaments, Bull Inst Combin Appl 32 (2001), 53-62.
    • (2001) Bull Inst Combin Appl , vol.32 , pp. 53-62
    • Ge, G.1    Zhu, L.2
  • 16
    • 84972497587 scopus 로고
    • Complete mappings of finite groups
    • M. Hall and L. J. Paige, Complete mappings of finite groups, Pacific J Math 5 (1955), 541-549.
    • (1955) Pacific J Math , vol.5 , pp. 541-549
    • Hall, M.1    Paige, L.J.2
  • 18
    • 33750829684 scopus 로고
    • Complete mappings, neofields, and dihedral groups
    • C. P. Johnson, Complete mappings, neofields, and dihedral groups, J Miss Acad Sci XXXI (1986), 147-152.
    • (1986) J Miss Acad Sci , vol.31 , pp. 147-152
    • Johnson, C.P.1
  • 19
    • 0007218278 scopus 로고
    • On difference matrices and regular latin squares
    • D. Jungnickel, On difference matrices and regular latin squares, Abh Math Sem Univ Hamburg 50 (1980), 219-231.
    • (1980) Abh Math Sem Univ Hamburg , vol.50 , pp. 219-231
    • Jungnickel, D.1
  • 20
    • 84885046502 scopus 로고
    • Einige neue Differenzmatrizen
    • D. Jungnickel, Einige neue Differenzmatrizen, Mitt Math Sem Giessen no 149 (1981), 47-57.
    • (1981) Mitt Math Sem Giessen , Issue.149 , pp. 47-57
    • Jungnickel, D.1
  • 21
    • 38249042953 scopus 로고
    • Maximal difference matrices of order ≤ 10
    • D. Jungnickel and G. Grams, Maximal difference matrices of order ≤ 10, Discrete Math 58 (1986), 199-203.
    • (1986) Discrete Math , vol.58 , pp. 199-203
    • Jungnickel, D.1    Grams, G.2
  • 23
    • 84943347318 scopus 로고
    • Construction of some sets of mutually orthogonal latin squares
    • E. T. Parker, Construction of some sets of mutually orthogonal latin squares, Proc Amer Math Soc 10 (1959), 946-949.
    • (1959) Proc Amer Math Soc , vol.10 , pp. 946-949
    • Parker, E.T.1
  • 24
    • 0039589173 scopus 로고
    • Sets of mutually orthogonal latin squares with "like subsquares"
    • C. E. Roberts Jr, Sets of mutually orthogonal latin squares with "like subsquares", J Combin Theory Ser A 61 (1992), 50-63.
    • (1992) J Combin Theory ser A , vol.61 , pp. 50-63
    • Roberts Jr., C.E.1
  • 25
    • 0007368534 scopus 로고
    • Applicazioni complete e rapporto incrementale in doppi cappi
    • D. Saeli, Applicazioni complete e rapporto incrementale in doppi cappi, Riv Mat Univ Parma (4) 15 (1989), 111-117.
    • (1989) Riv Mat Univ Parma , vol.4 , Issue.15 , pp. 111-117
    • Saeli, D.1
  • 26
  • 27
    • 33750814337 scopus 로고    scopus 로고
    • Difference matrices and orthomorphisms over non-abelian groups
    • K. A. S. Quinn, Difference matrices and orthomorphisms over non-abelian groups, Ars Combinatoria 52 (1999), 289-295.
    • (1999) Ars Combinatoria , vol.52 , pp. 289-295
    • Quinn, K.A.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.