(Solved): Challenge 1: Due on Dr. Dhia A. Habboush 1. Consider the group: \( \Xi \Delta \nabla \Theta \). Whe ...

Challenge 1: Due on Dr. Dhia A. Habboush 1. Consider the group: \( \Xi \Delta \nabla \Theta \). Where, \( \Xi \) is the identity \[ \begin{array}{l} \Delta \Theta=\nabla=\Theta \Delta \\ \Delta \Delta=\Theta=\nabla \nabla \\ \Theta^{-1}=\Theta \end{array} \] i Make up a complete multiplication table. ii Is this group Abelian? iii What are the subgroups? iv What is the class structure? 4 Pts