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Polytopes associated to dihedral groups
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)In: Ars Mathematica Contemporanea, ISSN 1855-3966, Vol. 7, no 1, 30-38 p.Article in journal (Refereed) Published
Abstract [en]

In this note we investigate the convex hull of those n × n permutation matrices that correspond to symmetries of a regular n-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart h * -vector.

Place, publisher, year, edition, pages
2014. Vol. 7, no 1, 30-38 p.
Keyword [en]
Permutation polytopes, dihedral groups, lattice polytopes
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-113794OAI: oai:DiVA.org:su-113794DiVA: diva2:787706
Available from: 2015-02-11 Created: 2015-02-11 Last updated: 2017-12-04Bibliographically approved

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http://amc-journal.eu/index.php/amc/article/view/289

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