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              Abstract 
             
           
          
            
We determine the minimal nontrivial integer group determinant for the dicyclic group of
 order 
4 n n 4 p 
 
           
        
        
          
            
              Keywords 
              
                group determinant, dicyclic group, Lind–Lehmer constant,
                Mahler measure
              
             
           
        
        
          
            
              Mathematical Subject Classification 
              
                Primary: 11R06, 15B36
              
              
                Secondary: 11B83, 11C08, 11C20, 11G50, 11R09, 11T22, 43A40
              
             
           
        
        
          
            
              Milestones 
              
                Received: 9 February 2021
              
              
                Revised: 14 June 2021
              
              
                Accepted: 29 June 2021
              
              
                Published: 13 September 2021