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Group Theory : Inverses of Cycles and Permutuations

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Modern Algebra
Group Theory (LXXXII)
Permutation Groups
The Inverse of a Cycle
The Inverse of a Permutation

Prove that ( 1, 2, 3, ..., n )^(-1) = ( n, n - 1, n - 2, ..., 3, 2, 1 ).

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It is proven that ( 1, 2, 3, ..., n )^(-1) = ( n, n - 1, n - 2, ..., 3, 2, 1 ). The solution is detailed and well presented.

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