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Unformatted text preview: hedron are isomorphic to the group of even permutations A 5 . Exercises 4.2 4.2.1. Show that no rotation of the dodecahedron leaves each of the ﬁve inscribed cubes ﬁxed. Thus the action of the rotation group on the set of inscribed cubes induces an injective homomorphism of the rotation group into S 5 . 4.2.2. Let A D f 2 4 cos 2k±=5 sin 2k±=5 1=2 3 5 W 1 ± k ± 5 g and B D f 2 4 cos .2k C 1/±=5 sin .2k C 1/±=5 ² 1=2 3 5 W 1 ± k ± 5 g :...
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This note was uploaded on 12/15/2011 for the course MAC 1105 taught by Professor Everage during the Fall '08 term at FSU.
 Fall '08
 EVERAGE
 Algebra, Permutations

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