Partial generalized Bhaskar Rao designs over abelian groups
نویسنده
چکیده
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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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 6 شماره
صفحات -
تاریخ انتشار 1992