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Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 23))

Abstract

In this talk I sketch a proof of the following theorem: Theorem. One-relator groups have solvable conjugacy problems.

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References

  1. A. Juhasz, A unified small cancellation theory I,Journal of the London Mat. Soc. (to appear).

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  2. R.C. Lyndon, On Dehn’s algorithm, Math. Ann. 166 (1966), 208–228.

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  3. R.C. Lyndon and P.E. Schupp, “Combinatorial Group Theory,” Springer-Verlag, Berlin-New York, 1977.

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  4. B.B. Newman, “Aspects of One-Relator Groups,” Thesis, University of Queensland, 1968.

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  5. P. Schupp, On Dehn’s algorithm and the conjugacy problem, Math. Ann. 178 (1966), 119–130.

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  6. S. Pride, Small cancellation conditions satisfied by one-relator groups, Math. Z. 184 (1983), 283–286.

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  7. E. Rips, Generalized small cancellation theory and application I, The word problem, Israel J. Math. 41 (1982), p. 1–146.

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© 1992 Springer-Verlag New York, Inc.

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Juhasz, A. (1992). Solution of the Conjugacy Problem in One-Relator Groups. In: Baumslag, G., Miller, C.F. (eds) Algorithms and Classification in Combinatorial Group Theory. Mathematical Sciences Research Institute Publications, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9730-4_3

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  • DOI: https://doi.org/10.1007/978-1-4613-9730-4_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9732-8

  • Online ISBN: 978-1-4613-9730-4

  • eBook Packages: Springer Book Archive

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