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    STUDIA MATHEMATICA - Issue no. 4 / 2013  
         
  Article:   THE GROUP OF ISOMETRIES OF THE FRENCH RAIL WAYS METRIC.

Authors:  .
 
       
         
  Abstract:   In this paper we study the isometry groups IsodF,p (Rn), where dF,p is the French rail ways metric given by (2.1). We derive some general properties of IsodF,p (Rn) and we discuss the particular situation when X = Rn and d = d2 is the Euclidean metric.

Mathematics Subject Classification (2010): 51B20, 51F99, 51K05, 51K99, 51N25.
Keywords: Isometry with respect to a metric, group of isometries, French railroad metric, homeomorphism group of Rn.
 
         
     
         
         
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