Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Let be a group of order #=75
(a) Prove that G has a subgroup H with all three of the following properties:(1) H has order #H=25(2) H is a nomal subgroup of G(3) H is abelian.
(b) Suppose that the subgroup H in (a) is cyclic of order 25. Prove that is abelian.