Homework #5 Solutions (due 10/10/06) - Dartmouth College
Homework #5 Solutions (due 10/10/06) Chapter 2 Groups (supplementary exercises) Subgroups of S 4 It’s a general fact about symmetric groups, and in the case of S 4 a fact that I’ve already told you, that the conjugacy classes are given by the “shapes” of the disjoint cycle decompo-sition of the elements. In the case of S
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x1 x2 + 3x3 = 9 x1 7x2x3 = 2 x 5x = 15 Solution: 4 3 9 x 1 ...
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