Other Properties and Presentation of Group from Kronecker Product on the Representation Quaternion Group

摘要

The group was obtained by apply Kronecker product on the demonstration of the quaternion group is a finite group with 32 order. The elements of this group are 4×4 matrices and the group is a non-abelian. In the first results, it's presented that the group was a solvable group. In this paper, other properties will be presented and will also be given a presentation of the group. This property is associated with a series normal subgroup and the cyclic subgroup. It's shown that the presentation of group have 4 generators and 5 relations.