New York Journal of Mathematics
Volume 18 (2012) 651-656


Daniel Groves

Test elements in torsion-free hyperbolic groups

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Published: September 1, 2012
Keywords: Hyperbolic groups, test elements, retracts
Subject: 20F67; secondary 20F65, 20F70

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.


This work was supported by NSF grants DMS-0804365 and CAREER DMS-0953794

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MSCS UIC 322 SEO, M/C 249, 851 S. Morgan St., Chicago, IL 60607-7045, USA