GBRDs with Block Size Three over 2-Groups, Semi-Dihedral Groups and Nilpotent Groups
نویسندگان
چکیده
There are well known necessary conditions for the existence of a generalized Bhaskar Rao design over a group G, with block size k = 3. We prove that they are sufficient for nilpotent groups G of even order, and in particular for 2-groups. In addition, we prove that they are sufficient for semi-dihedral groups.
منابع مشابه
Generalised Bhaskar Rao designs with elements from cyclic groups of even order
A necessary condition is given for the existence of some Generalised Bhaskar Rao designs (GBRDs) with odd block size over cyclic groups of even order. Some constructions are given for GBRDs over cyclic groups of even order with block size 3 and with block size 4. AMS Subject Classification: 05B99 J( ey words and phrases: Balanced Incomplete Block Designs; Generalised Bhaskar Rao Designs
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 18 شماره
صفحات -
تاریخ انتشار 2011