Bhaskar Rao designs and the alternating group A4
نویسندگان
چکیده
In this paper we introduce a new construction for generalized Bhaskar Rao designs. Using this construction, we show that a generalized Bhaskar Rao design, GBRD(v, 3, A; A4) exists if and only if A == 0 (mod 12).
منابع مشابه
Bhaskar Rao designs and the groups of order 12
We complete the solution of the existence problem for generalized Bhaskar Rao designs of block size 3 over groups of order 12. In particular we prove that if G is a group of order 12 which is cyclic or dicyclic, then a generalized Bhaskar Rao design, GBRD(v, 3, λ = 12t;G) exists for all v ≥ 3 when t is even and for all v ≥ 4 when t is odd.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 24 شماره
صفحات -
تاریخ انتشار 2001