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Adders for the patterned starter in some non-abelian groups

Published online by Cambridge University Press:  17 April 2009

Philip A. Leonard
Philip A. Leonard
Affiliation:
Department of Mathematics, Arizona State University, Tempe, Arizona, USA.
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Starters with adders in abelian groups of odd order have been used extensively in the construction and study of Room squares. It is possible to define these concepts in non-abelian groups, with similar applicability to Room squares. Examples are given of adders for the “patterned starter” in the non-abelian groups of order pq, p and q primes larger than 3, p ≡ q ≡ 3 (mod 4), q ≡ 1 (mod p).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 10 , Issue 3 , June 1974 , pp. 321 - 323
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Hall, Marshall Jr, The theory of groups (The Macmillan Company, New York, 1959).Google Scholar
[2]Wallis, W.D., “Room squares”, Combinatorics: Room squares, sum-free sets, Hadamard matrices, 33–121 (Lecture Notes in Mathematics, 292. Springer-Verlag, Berlin, Heidelberg, New York, 1972).CrossRefGoogle Scholar