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Mapping Tori of Free Group Automorphisms are Coherent

Mark Feighn and Michael Handel
Annals of Mathematics
Second Series, Vol. 149, No. 3 (May, 1999), pp. 1061-1077
Published by: Annals of Mathematics
DOI: 10.2307/121081
Stable URL: http://www.jstor.org/stable/121081
Page Count: 17
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Mapping Tori of Free Group Automorphisms are Coherent
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Abstract

The mapping torus of an endomorphism Φ of a group G is the HNN-extension G* G with bonding maps the identity and Φ . We show that a mapping torus of an injective free group endomorphism has the property that its finitely generated subgroups are finitely presented and, moreover, these subgroups are of finite type.

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