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A note on frame starters

Published online by Cambridge University Press:  17 April 2009

Cheng-De Wang
Affiliation:
Department of MathematicsBeijing Institute of TechnologyXicheng Beijing100031 China
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Abstract

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We construct frame starters in Z2n − {0, n}, for n ≡ 0, 1 mod 4, where Z2n denotes the cyclic group of order 2n. We also construct left frame starters in Q2n − {e, αn}, where Q2n is the dicyclic group of order 4n and αn is the unique element of order 2 in Q2n.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Dinitz, J.H. and Stinson, D.R., ‘The construction and uses of frames’, Ars Combin. 10 (1980), 3153.Google Scholar
[2]Hsu, D.F. and Keedwell, A.D., ‘Generalized complete mappings, neofields, sequenceable groups and block designs I’, Pacific J. Math. 111 (1984), 317332.CrossRefGoogle Scholar
[3]Leonard, P.A., ‘Adders for the patterned starter in some nonabelian groups’, Bull. Austral. Math. Soc. 10 (1974), 321323.CrossRefGoogle Scholar
[4]Wang, C-D. and Keedwell, A.D., ‘On special near orthomorphisms’, J. Combin. Math. Combin. Comput. (to appear).Google Scholar