In this paper, we establish a recursive formula for the number of chains of subgroups in the subgroup lattice of the groups formed by the Cartesian products of cyclic groups of prime power order with alternating groups of degree 3. The... more
In this paper, we establish a recursive formula for the number of chains of subgroups in the subgroup lattice of the groups formed by the Cartesian products of cyclic groups of prime power order with alternating groups of degree 3. The subgroup chains were characterised by an enumerative technique derived from the set of representatives of isomorphism classes of subgroups with their sizes.
