Answered: In the permutation group S2021, a…

In the permutation group S2021, a product of all transpositions (where each transposition occurs exactly once) is always an even permutation.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

In the permutation group S₂₀₂₁, a product of all transpositions (where each transposition occurs exactly once) is always an even permutation. Please explain the taken steps, thank you in advance.

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