Let d be a metric on the symmetric group Sn. Suppose d is left invariant . i.e, d(ca,cb)=d(a,b) for all a,b,c in Sn.

Is there any method to convert it as a right invariant metric.

i.e, d(ac,bc)=d(a,b) for all a,b,c in Sn ?

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- Aug 3rd 2008, 05:31 AMthipplisymmetric group metric
Let d be a metric on the symmetric group Sn. Suppose d is left invariant . i.e, d(ca,cb)=d(a,b) for all a,b,c in Sn.

Is there any method to convert it as a right invariant metric.

i.e, d(ac,bc)=d(a,b) for all a,b,c in Sn ? - Aug 3rd 2008, 06:16 AMNonCommAlg