Unformatted text preview: 2. Section 4.1, Exercise 5(b) on page 116. (3 points) 3. Section 4.2, Exercise 5(a) on page 121. (3 points) 4. Let G be a group of order 75 acting on a set A of order 17. Suppose G ﬁxes no element of A (i.e. there is no orbit of order 1). Prove that G has a subgroup of order 15. (3 points) (4 problems, 13 points altogether)...
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 Fall '07
 PALinnell
 Math, Algebra, Group Theory, Normal subgroup, Subgroup, distinct normal subgroups

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