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Subgroup presentations without coset representatives

Part of the Lecture Notes in Mathematics book series (LNM,volume 1440)

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References

  1. J. Avenhaus and K. Madlener-"The Nielsen Reduction as Key Problem to Polynomial Algorithm in Free Groups"-Computer Algebra (Marseilles, 1982), pg. 49–56. Lecture Notes in Comp. Sci. Springer-Verlag, Berlin-New York 1982

    CrossRef  Google Scholar 

  2. G. Baumslag,F. Cannonito and C.Miller-Math. Z. 1979

    Google Scholar 

  3. G.Baumslag, F.Cannonito,D.Robinson and D.Segal-"The Algorithmic Theory of Polycyclic-by-Finite Groups"-to appear

    Google Scholar 

  4. A.F. Beardon-The Geometry of Discrete Groups-Springer-Verlag, New York-1983

    CrossRef  MATH  Google Scholar 

  5. B.Fine-The Algebraic Theory of the Bianchi Groups-Marcell Dekker-1989

    Google Scholar 

  6. B.Fine and G.Rosenberger-"Two-Generator Subgroups of Certain HNN Groups"-to appear in Contemporary Mathematics

    Google Scholar 

  7. D.Johnson-Presentations of Groups-London Math. Soc. Lecture Notes Series 22-Cambridge University Press, 1976

    Google Scholar 

  8. R.Kulkarni-"An Arithmetic-Geometric Method in The Study of Subgroups of the Modular Group"-to appear

    Google Scholar 

  9. R.Lyndon and P. Schupp-Combinatorial Group Theory-Springer-Verlag 1977

    Google Scholar 

  10. W. Magnus, A. Karrass and D. Solitar-Combinatorial Group Theory-Wiley Interscience-New York 1966

    MATH  Google Scholar 

  11. M.Newman-Integer Matrices-Academic Press 1973

    Google Scholar 

  12. N. Peczynski and W. Reiwer-"On Cancellation in HNN Groups"-Math. Z. 158 (1978) 79–86

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. S. Persinger-available upon request

    Google Scholar 

  14. H. Rademacher-"Uber die Erzeugenden von Kongruenzuntergruppen der Modulgruppe"-, Abh. Hamburg 7 (1929) 134–148

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. R. Riley-Applications of a Computer Implementation of Poincare's Theorem on Fundamental Polyhedra"-Math. of Comp. Vol. 40, No. 162 (1983) 607–632

    MathSciNet  MATH  Google Scholar 

  16. G.Rosenberger-"Applications of Nielsen's Reduction Method to the Solution of Combinatorial Problems in Group Theory: A survey"-in Homological Group Theory-Proc. Symp Durham 1977-London Math. Soc. Lecture Notes Series 36, pg.339–358

    Google Scholar 

  17. R. Swan-"Generators and Relations for Certain Special Linear Groups"-Adv. in Math. 6(1971) 1–77

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. H. Zieschang-"Uber die Nielsensche Kurzungsmethode in Freien Produckten mit Amalgam"-Math. 10 (1970) 4–37

    MathSciNet  MATH  Google Scholar 

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© 1990 Springer-Verlag

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Fine, B. (1990). Subgroup presentations without coset representatives. In: Latiolais, P. (eds) Topology and Combinatorial Group Theory. Lecture Notes in Mathematics, vol 1440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084451

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  • DOI: https://doi.org/10.1007/BFb0084451

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