Geodesic
Compatible Tight Riesz Orders
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 186-200

Voir la notice de l'article provenant de la source Cambridge University Press

N. R. Reilly has obtained an algebraic characterization of the compatible tight Riesz orders that can be supported by certain partially ordered groups [13; 14]. The purpose of this paper is to give a “geometric“ characterization by the use of ordered permutation groups. Our restrictions on the partially ordered groups will likewise be geometric rather than algebraic. Davis and Bolz [3] have done some work on groups of all order-preserving permutations of a totally ordered field; from our more general theorems, we will be able to recapture their results. 
Glass, A. M. W. Compatible Tight Riesz Orders. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 186-200. doi: 10.4153/CJM-1976-024-4
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