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  3. (a) let n = 2k be an even integer. show that x = r

(a) Let n = 2k be an even integer. Show that x = rk is an...

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Advance Math

(a) Let n = 2k be an even integer. Show that x = rkis an element of order 2 which commutes with every element ofDn.

(b) Let n = 2k be an even integer. Show that x = rkis the unique non-identity element which commutes with everyelement of Dn.

(c) If n is an odd integer, show that the identity is the onlyelement of Dn which commutes with every element ofDn.

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