Finite Group Z2Z4

$\begin{figure}\begin{center}\BoxedEPSF{Z2Z4.epsf}\end{center}\end{figure}$

One of the three Abelian groups of the five groups total of Order 8. Examples include the Modulo Multiplication Groups $M_{15}$ , $M_{16}$ , $M_{20}$ , and $M_{30}$ . The elements of this group satisfy ${A_i}^4=1$ , where 1 is the Identity Element, and four of the elements satisfy ${A_i}^2=1$ . The Cycle Graph is shown above.