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Products of conjugacy classes in a free group: a counterexample

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Bibliography

  1. Adian, S.J.: Defining relations and algorithmic problems for groups and semigroups. Proc. Steklov Inst. Math.85 (1966)

  2. Culler, M.: Using surfaces to solve equations in groups. Topology20, 133–145 (1981)

    Google Scholar 

  3. Gersten, S.M.: Conservative groups, indicability and a conjecture of Howie. J. Pure Appl. Algebra29, 59–74 (1983)

    Google Scholar 

  4. Gersten, S.M.: Nonsingular equations of small weight over groups, to appear in Combinatorial Group Theory and topology. Annals of Math. Studies, Princeton University Press

  5. Gersten, S.M.: Reducible diagrams in the solution of equations over groups. Preprint

  6. Gerstenhaber, M., Rothaus, O.S.: The solution of sets of equations in groups. Proc. Nat. Acad. Sci. USA48, 1531–1533 (1962)

    Google Scholar 

  7. Goldstein, R.Z., Turner, E.C.: Applications of topological graph theory to group theory. Math. Z.165, 1–10 (1979)

    Google Scholar 

  8. Howie, J.: How to generalize one-relator group theory, to appear in Combinatorial Group Theory and Topology, Annals of Math. Studies, Princeton University Press

  9. Howie, J.: On pairs of 2-complexes and systems of equations over groups. J. Reine Angew. Math.324, 165–174 (1981)

    Google Scholar 

  10. Howie, J.: Spherical diagrams and equations over groups. Math. Proc. Camb. Philos. Soc.96, 255–268 (1984)

    Google Scholar 

  11. Howie, J.: Thep-adic topology on a free group: a counterexample. Math. Z.187, 25–27 (1984)

    Google Scholar 

  12. Howie, J.: The solution of length three equations over groups. Proc. Edinb. Math. Soc.26:2, 165–174 (1981)

    Google Scholar 

  13. Levin, F.: Solutions of equations over groups. Bull. Am. Math. Soc.68, 603–604 (1962)

    Google Scholar 

  14. Remmers, J.H.: On the geometry of semigroup presentations. Adv. Math.36, 283–296 (1980)

    Google Scholar 

  15. Sieradski, A.: A coloring test for asphericity Q. J. Math. Oxf.34:2, 97–106 (1983)

    Google Scholar 

  16. Stallings, J.R.: Surfaces in 3-manifolds and non-singular equations in groups. Math. Z.184, 1–17 (1983)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Utah, 84112, Salt Lake City, UT, USA

    S. M. Gersten

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  1. S. M. Gersten
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Partially supported by National Science Foundation grant MDS 84 00882 and by the Mathematical Sciences Research Institute, Berkeley

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Gersten, S.M. Products of conjugacy classes in a free group: a counterexample. Math Z 192, 167–181 (1986). https://doi.org/10.1007/BF01179420

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