Unformatted text preview: Show directly (i.e. without arguing geometrically) that every element of D n of the form fr j is its own inverse. Exercise 8. Show that if x ∈ D n is not a rotation then rx = xr1 . Exercise 9. If n = 2 k and z = r k , show that z is the only nonidentity element of D n that commutes with every other element....
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 Spring '10
 RyanDaileda
 Algebra, Integers

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