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            Daniel Groves 
            Test elements in torsion-free hyperbolic groups view    print 
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                | Published: | 
                September 1, 2012 | 
               
              
                | Keywords: | 
                Hyperbolic groups, test elements, retracts | 
               
              
                | Subject: | 
                20F67; secondary 20F65, 20F70 | 
               
              
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			  Abstract
			  
			      
We prove that in a torsion-free hyperbolic group, an element is a test element if and only if it is not contained in a proper retract.
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			  | Acknowledgements
		       This work was supported by NSF grants DMS-0804365 and CAREER DMS-0953794 
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			  | Author information
 MSCS UIC 322 SEO, M/C 249, 851 S. Morgan St., Chicago, IL 60607-7045, USA 
groves@math.uic.edu 
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