On groups of perfect shuffles

• Main Authors: Magsumbol, Evangeline H., Penas, Naja P.
• Format: text
• Language: English
• Published: Animo Repository 1996
• Subjects: Permutation groups; Group theory; Cards
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16311
• Institution: De La Salle University

This paper provides a comprehensive introduction to groups of perfect shuffles. A perfect shuffle is a particular way of permuting the cards in a deck. The theory of shuffle groups includes properties on permutation of piles, standard shuffles and others. Results on the order of standard shuffles, reverse shuffle and the group G1kz are also included. The shuffle group G has a normal subgroup N for which the factor group is isomorphic to Zz.The main results in this thesis are contained in the article by Steve Medvedoff and Kent Morrison entitled Groups of Perfect Shuffles . The researchers provided a summary of the preliminary concepts in abstract algebra that are necessary, to understand the concepts discussed in the article, and the proofs of major results were expanded to facilitate this comprehension. Illustrative examples were also used to clarify the concepts that were presented.