On the Classification of Translation Group-divisible Designs

Divisible designs with dual translation group

Many different divisible designs are already known. Some of them possess remarkable automorphism groups, so called dual translation groups. The existence of such an automorphism group enables us to characterize its associated divisible design as being isomorphic to a substructure of a finite affine space. AMS Classification: 05B05, 05B30, 20B25, 51N10

Construction of Group Divisible Designs

Construction of Divisible Designs from Translation Planes

We construct some classes of divisible designs from nite translation planes of dimension two and three over GF(q), q a prime power, admitting SL(2; q) as a collineation group.

on translation of phatic communion and socio-cultural relationships between the characters of the novels

phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...

Further results on large sets of disjoint group-divisible designs

Chen, D., CC. Lindner and D.R. Stinson, Further results on large sets of disjoint group-divisible designs, Discrete Mathematics 110 (1992) 35-42. This paper is a continuation of a recent paper by Chen and Stinson, where some recursive constructions for large sets of group-divisible design with block size 3 arc presented. In this paper, we give two new recursive constructions. In particular, we ...