Answered: 6. Apply Burnside's formula to compute…

6. Apply Burnside's formula to compute the number of orbits for the cyclic group G = {(1,5) o (2, 4, 6)) acting on the set X = {1,2, 3, 4, 5, 6, 7}.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 9E: 9. Suppose that and are subgroups of the abelian group such that . Prove that .

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6. Apply Burnside's formula to compute the number of orbits for the cyclic group G =
((1,5) o (2, 4, 6)) acting on the set X = {1,2,3, 4, 5, 6, 7}.

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