Doubly resolvable designs from generalized Bhaskar Rao designs
نویسندگان
چکیده
منابع مشابه
Partial generalized Bhaskar Rao designs over abelian groups
Let G = EA(g) of order g be the abelian group ZPl X ZPl X . .. X ZPl X ... X ZPn X ZPn X ... X ZPII n whereZpi occurs ri times with IT pp the prime decomposition of g. i = 1 It is shown that the necessary conditions A==O(modg) v?:: 3n v == 0 (mod n) A(V n) == 0 (mod 2) v v n 0 (mod 24) if g is even, A ( _ ) = (0 (mod 6) if g is odd, are sufficient for the existence of a PGBRD(v, 3, A, n; EA(g)).
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Let H be a normal subgroup of a finite group G. We show that: If a GBRD(v, k, A.; G IH) exists and a GBRD(k,j, JA.; H) exists then a GBRD(v,j, AJA.; G) exists. We apply this result to show that: i) If k does not exceed the least prime factor of IG I, then a GBRD(k, k, A; G) exists for all A EO (mod IG I); ii) If G is of order IG Ie lor 5 (mod 6) then a GBRD(v, 3, A = t IG I; G), v>3, exists if ...
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We show that the necessary conditions λ = 0 (mod IGI), λ(v-l)=0 (mod2), λv(v 1) = [0 (mod 6) for IGI odd, (0 (mod 24) for IGI even, are sufficient for the existence of a generalized Bhaskar Rao design GBRD(v,b,r,3,λ;G) for the elementary abelian group G, of each order IGI. Disciplines Physical Sciences and Mathematics Publication Details Seberry, J, Generalized Bhaskar Rao designs with block si...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1988
ISSN: 0012-365X
DOI: 10.1016/0012-365x(88)90132-x