Outer automorphism groups of Seifert 3-manifold groups over non-orientable surfaces

R.B.J.T Allenby,Goansu Kim,C.Y Tang

doi:10.1016/j.jalgebra.2009.05.015

Outer automorphism groups of Seifert 3-manifold groups over non-orientable surfaces

R.B.J.T Allenby, Goansu Kim + Show 1 more

https://doi.org/10.1016/j.jalgebra.2009.05.015

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Journal: Journal of Algebra	Publication Date: May 28, 2009
Citations: 6	License type: elsevier-specific: oa user license

Affiliation: University of Leeds, Yeungnam University, University of Waterloo

#Non-orientable Surfaces #Outer Automorphism Groups + Show 6 more

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Abstract

In this paper we show that fundamental groups of Seifert fibered spaces over non-orientable surfaces have Property E. From this we deduce that the outer automorphism groups of almost all Seifert groups are residually finite. We conjecture that all outer automorphism groups of Seifert groups are residually finite. It follows that almost all mapping class groups of Seifert fibered spaces are residually finite.

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