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Permutation groups and card shuffling
Sekera, Vojtěch ; Šťovíček, Jan (advisor) ; Růžička, Pavel (referee)
In this thesis we solve an old problem, named after the magician and mathematician Alex Elmsley, of raising a card to the top of the deck using faro shuffles. Furthermore we examine the group structure generated by these shuffles on an arbitrarily large deck of cards. Upon generalizing the faro shuffle in the third chapter, we reach a promising conjecture about these faro shuffle permutation groups. 1

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1 Sekera, Vladimir
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