On a theorem of Scott and Swarup

Author:
Mahan Mitra

Journal:
Proc. Amer. Math. Soc. **127** (1999), 1625-1631

MSC (1991):
Primary 20F32, 57M50

DOI:
https://doi.org/10.1090/S0002-9939-99-04935-7

Published electronically:
February 17, 1999

MathSciNet review:
1610757

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Mahan Mitra**

Affiliation:
Department of Mathematics, University of California at Berkeley, Berkeley, California 94720

Address at time of publication:
Institute of Mathematical Sciences, C.I.T. Campus, Madras (Chennai) - 600113, India

Email:
mitra@imsc.ernet.in

DOI:
https://doi.org/10.1090/S0002-9939-99-04935-7

Received by editor(s):
September 22, 1997

Published electronically:
February 17, 1999

Additional Notes:
The author’s research was partly supported by an Alfred P. Sloan Doctoral Dissertation Fellowship, Grant No. DD 595

Communicated by:
Christopher Croke

Article copyright:
© Copyright 1999
American Mathematical Society