Bitranslations and Symmetric Nets.

Al-Kenani, Ahmad N.

The article discusses the search for necessary and sufficient conditions to permute with Sm to introduce bitranslation using regular subsets of Sm. It proposes the condition that Π is symmetric with (μ, m)-net and the use of standard labeling for Π having base block class of Y and X as base point class. It also presents lemmas showing syntax sets for the condition using regular subsets and found out that the Klein 4-group satisfy the condition for tactical symmetric (2,4)-net. It adds that the order of full automorphism group using Klein 4-group is 5376. It shows the incidence matrix of m in the value of (2,4)-net.

PERMUTATIONS; MATHEMATICAL symmetry; AUTOMORPHISMS; SET theory; GRAPH labelings; MATHEMATICAL notation; MATRICES (Mathematics); PROBLEM solving; SUBGROUP growth

International Journal of Combinatorics, 2010, Vol 2010, p1

1687-9163

Academic Journal

10.1155/2010/502989