Suppose n > 3 is an integer. Prove that in Sn every even permutation is a product of cycles of length 3. Hint: (a, b) (b, с) —- (а, b, с) and (a, b)(, д) — (а, b, с)(ъ, с, d).
Suppose n > 3 is an integer. Prove that in Sn every even permutation is a product of cycles of length 3. Hint: (a, b) (b, с) —- (а, b, с) and (a, b)(, д) — (а, b, с)(ъ, с, d).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 38E: Let n be appositive integer, n1. Prove by induction that the set of transpositions...
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