Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-27T02:35:23.309Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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