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Group Actions and Elementary Number Theory

Patil, DP and Storch, U (2011) Group Actions and Elementary Number Theory. In: Journal of the Indian Institute of Science, 91 (1). pp. 1-45.

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Abstract

Abstract | In this article the shuffling of cards is studied by using the concept of a group action. We use some fundamental results in Elementary Number Theory to obtain formulas for the orders of some special shufflings, namely the Faro and Monge shufflings and give necessary and sufficient conditions for the Monge shuffling to be a cycle. In the final section we extend the considerations to the shuffling of multisets.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The Indian Institute of Science (IISc).
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 09 Feb 2012 10:11
Last Modified: 09 Feb 2012 10:11
URI: http://eprints.iisc.ernet.in/id/eprint/43253

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