A curved Brunn-Minkowski inequality for the symmetric group

In this paper, we construct an injection A×B→M×M from the product of any two nonempty subsets of the symmetric group into the square of their midpoint set, where the metric is that corresponding to the conjugacy class of transpositions. If AA and BB are disjoint, our construction allows to inject tw...

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Bibliographic Details
Main Authors: Neeranartvong, Weerachai, Novak, Jonathan, Sothanaphan, Nat
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: European Mathematical Information Service (EMIS) 2017
Online Access:http://hdl.handle.net/1721.1/109449