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arxiv: 1209.4991 · v3 · pith:DQUF55T4new · submitted 2012-09-22 · 🧮 math.GR · math.CO

Mind Switches in Futurama and Stargate

classification 🧮 math.GR math.CO
keywords futuramaproductstargatetranspositionsanswerapplicationsarisenconnection
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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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