Browsing Mathematics (Faculty of) by Subject "symmetric group"
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Combinatorial Constructions for Transitive Factorizations in the Symmetric Group
(University of Waterloo, 2004)We consider the problem of counting <i>transitive factorizations</i> of permutations; that is, we study tuples (σ<i>r</i>,. . . ,σ1) of permutations on {1,. . . ,<i>n</i>} such that (1) the product ... -
Enumeration of Factorizations in the Symmetric Group: From Centrality to Non-centrality
(University of Waterloo, 2011-04-25)The character theory of the symmetric group is a powerful method of studying enu- merative questions about factorizations of permutations, which arise in areas including topology, geometry, and mathematical physics. This ...