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On a theorem of Scott and Swarup |
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| Authors: | Mahan Mitra |
| Affiliation: | Department of Mathematics, University of California at Berkeley, Berkeley, California 94720 |
| Abstract: | Let  be an exact sequence of hyperbolic groups induced by an automorphism  of the free group  . Let  be a finitely generated distorted subgroup of  . Then there exist  and a free factor  of  such that the conjugacy class of  is preserved by  and  contains a finite index subgroup of a conjugate of  . This is an analog of a theorem of Scott and Swarup for surfaces in hyperbolic 3-manifolds. |
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