Some designs from the fixed points of alternating groups

In this paper, we construct some ۱-(v,k,\lambda) designs from the alternating group G=A_{n} with the maximal subgroup isomorphic to M=A_{n-۱}. The method we use is called Key-Moori Method ۲. Furthermore, from the set I_x which is the intersection of all blocks containing the point x\in G, we construct corresponding reduced designs. Our aim is to give explicit formulae to compute the parameters of the designs based on the cyclic structures of the permutations in G.

کلیدواژه ها:

Alternating groups ، Reduced designs ، Key-Moori Methods