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Reversible relative difference sets

✍ Scribed by S. L. Ma

Publisher: Springer-Verlag
Year: 1992
Tongue: English
Weight: 346 KB
Volume: 12
Category: Article
ISSN: 0209-9683
DOI: 10.1007/bf01305235

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📜 SIMILAR VOLUMES

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In this paper we prove that a near difference set with parameters v=2(q+1), k=q, \*= 1 2 (q&1) may be constructed whenever q is an odd prime power. 1996 Academic Press, Inc. (i) For each a Â H the congruence d i &d j #a (mod v) has exactly \* solution pairs (d i , d j ), d i , d j # D.

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In their paper (1967, Math. Z. 99, 53 75) P. Dembowski and F. C. Piper gave a classification of quasiregular collineation groups of finite projective planes. In the case (d) or (g) in their list the corresponding group, say G, has a subset D satisfying that (V) there exist mutually disjoint subgroup

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We investigate the existence of relative (m, 2, k, 2)-difference sets in a group H x N relative to N. One can think of these as 'liftings' or 'extensions' of (m, k, 22)-difference sets. We have to distinguish between the difference sets and their complements.. In particular, we prove: --Difference