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A geometric invariant of discrete groups

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References

  • [B] Brown, K.S.: Trees, valuations, and the Bieri-Neumann-Strebel invariant (Preprint 1986)

  • [B-G] Bieri, R., Groves, J.R.J.: The geometry of the set of characters induced by valuations. J. Reine Angew. Math.347, 168–195 (1984)

    Google Scholar 

  • [B-S 1] Bieri, R., Strebel, R.: Valuations and finitely presented metabelian groups. Proc. Lond. Math. Soc. (3)41, 439–464 (1980)

    Google Scholar 

  • [B-S 2] Bieri, R., Strebel, R.: A geometric invariant for modules over an abelian group. J. Reine Angew. Math.322, 170–189 (1981)

    Google Scholar 

  • [B-S 3] Bieri, R., Strebel, R.: A geometric invariant for nilpotent-by-abelian-by-finite groups. J. Pure Appl. Algebra25, 1–20 (1982)

    Google Scholar 

  • [B-S 4] Bieri, R., Strebel, R.: On the existence of finitely generated normal subgroups with infinite cyclic quotients. Arch. Math.36, 401–403 (1981)

    Google Scholar 

  • [B-Sq] Brin, M.G., Squier, C.C.: Groups of piecewise linear homeomorphisms of the real line. Invent. Math.79, 485–498 (1985)

    Google Scholar 

  • [F-L] Fried, D., Lee, R.: Realizing group automorphisms. Contemp. Math.36, 427–432 (1985)

    Google Scholar 

  • [L] Levitt, G.: Geometry and ergodicity of closed 1-forms. Proc. V Escola Geom. Dif. São Paulo 1984, pp. 109–118

  • [N] Neumann, W.D.: Normal subgroups with infinite cyclic quotient. Math. Sci.4, 143–148 (1979)

    Google Scholar 

  • [St] Stallings, J.: On fibering certain 3-manifolds. Topology of 3-Manifolds and Related Topics, Prentice-Hall, Englewood Cliffs, N.J.,95–100 (1962)

    Google Scholar 

  • [S] Strebel, R.: Finitely presented soluble groups. In: Gruenberg, K.W., Roseblade, J.E. (eds.). Group Theory: essays for Philip Hall. Academic Press 1984, pp. 257–314

  • [T] Thurston, W.P.: A norm on the homology of 3-manifolds. Memoirs of the A.M.S.339 (1986)

  • [Ti] Tischler, D.: On fibering certain foliated manifolds overS 1. Topology9, 153–154 (1970)

    Google Scholar 

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Authors and Affiliations

  1. Fachbereich Mathematik der Universität, Robert-Mayer-Straße 6-10, D-6000, Frankfurt, Germany

    Robert Bieri

  2. Department of Mathematics, University of Maryland, 20742, College Park, MD, USA

    Walter D. Neumann

  3. Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland

    Ralph Strebel

Authors
  1. Robert Bieri
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  2. Walter D. Neumann
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  3. Ralph Strebel
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Additional information

The first and third named authors and the second named author thank the Deutsche Forschungsgemeinschaft and the NSF respectively for financial support for this research

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Bieri, R., Neumann, W.D. & Strebel, R. A geometric invariant of discrete groups. Invent Math 90, 451–477 (1987). https://doi.org/10.1007/BF01389175

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