Abstract

When discussing semi-direct products in abstract algebra, it is often hard to visualize how this operation works. To solve this problem, a game with a series of variations was created to model semi-direct products, specifically based on a group with semi-direct product of order 42. This semi-direct product group contains the dihedral group of order 14 as a subgroup, thus helping students form connections between the types of groups.  Each variation can be adapted to any semi-direct product group, with each variation building on students’ abilities to perform computations in that semi-direct product.