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Product of the disjoint cycles and permutation groups

Modern Algebra
Group Theory (LXXXIV)
Permutation Groups
The Order of a Permutation
The Order of a Cycle

(a) What is the order of an n-cycle?
(b) What is the order of the product of the disjoint cycles of lengths m1 , m2 , ... , mk ?
(c) How do you find the order of a given permutation?

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Solution Summary

This problem is for finding the order of an n-cycle, the order of the product of the disjoint cycles and order of a given permutation.
The solution is detailed and well presented.

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