Assignment:
Q1.) Show that Z(II_alpha G_alpha)=II_alpha Z(G_alpha)
Q2.) Show that (G_1 x G_2 x ... x G_n)' = G'_1 x G'_2 x ... x G'_n
Q3.) Under what circumstances is G_1 x G_2 x ... x G_n solvable?
Note: That II_alpha is the product over all alpha of an index set.
Provide complete and step by step solution for the question and show calculations and use formulas.