Le Conte de Poly-Barbut, Claude Automorphismes du permutoèdre et votes de Condorcet. (Automorphisms of permutohedron and Condorcet’s voting). (French) Zbl 0721.01005 Math. Inf. Sci. Hum. 111, 73-82 (1990). The paper is devoted to the analysis of the automorphism group of the permutohedron. It is shown that: 1) this group is generated by two transformations (that change “almost nothing” to the analysis of Condorcet’s voting procedures): to reverse total orders on n elements and to transform them by a permutation and 2) this group is isomorphic to the direct product of the two element group by the symmetric group \(S_ n\). Reviewer: R.Murawski (Poznań) Cited in 7 Documents MSC: 01A50 History of mathematics in the 18th century 01A55 History of mathematics in the 19th century Keywords:symmetric group Biographic References: de Condorcet, M. J. A. PDFBibTeX XMLCite \textit{C. Le Conte de Poly-Barbut}, Math. Inf. Sci. Hum. 111, 73--82 (1990; Zbl 0721.01005) Full Text: Numdam EuDML