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            | Abstract |  
            | The conjugation diameter of a group 
 is the largest diameter of its Cayley graphs with respect to conjugation-invariant
 generating sets. It is a strong form of the extensively studied concept of the diameter
 of 
.
 We compute the conjugation diameter of the symmetric groups.
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            | Keywords
                conjugation diameter, symmetric groups
               |  
          
            | Mathematical Subject Classification 2010
                Primary: 05E15, 20B30
               |  
          
            | Milestones
                Received: 4 March 2020
               
                Revised: 10 May 2020
               
                Accepted: 25 June 2020
               
                Published: 20 November 2020
               
 
                Communicated by Kenneth S. Berenhaut
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            | © 2020 MSP (Mathematical Sciences
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