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Mind Switches in Futurama and Stargate

Published 22 Sep 2012 in math.GR and math.CO | (1209.4991v3)

Abstract: Let P be a permutation expressed as a product of nontrivial disjoint cycles. When writing P as a product of distinct transpositions none equal to a factor of P, what is the smallest number of transpositions that can be used? We answer this question and give applications to mind-switching problems that have arisen in connection with the popular sci-fi television series Futurama and Stargate SG-1.

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