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Commutators, generators and conjugacy equations in groups

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References

  1. W. Dicks, A commutator test for two elements to generate the free algebra of rank two. Bull. London Math Soc.14, 48–51 (1982).

    Google Scholar 

  2. P. Hill, S. J. Pride andA. D. Vella, Subgroups of small cancellation groups. J. Reine Angew. Math.349, 24–54 (1984).

    Google Scholar 

  3. R. N. Kalia andG. Rosenberger, Automorphisms of the Fuchsian groups of type (0, 2, 2, 2,q:0). Comm. Algebra6 (11), 115–129 (1978).

    Google Scholar 

  4. R. C.Lyndon and P. E.Schupp, Combinatorial Group Theory. Berlin-Heidelberg-New York 1977.

  5. J. McCool andA. Pietrowski, On free products with amalgamation of two infinite cyclic groups. J. Algebra18, 377–383 (1971).

    Google Scholar 

  6. J. Nielsen, Die Isomorphismen der allgemeinen, unendlichen Gruppe mit zwei Erzeugenden. Math. Ann.78, 385–397 (1917).

    Google Scholar 

  7. S. J. Pride, On the generation of one-relator groups. Trans. Amer. Math. Soc.210, 331–363 (1975).

    Google Scholar 

  8. S. J. Pride, On the hopficity and related properties of small cancellation groups. J. London Math. Soc.14, 269–276 (1976).

    Google Scholar 

  9. S. J. Pride, The isomorphism problem for two-generator one-relator groups with torsion is solvable. Trans. Amer. Math. Soc.227, 109–139 (1977).

    Google Scholar 

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

    Google Scholar 

  11. E. Rips, Commutator equations in free groups. Israel J. Math.39 (4), 326–340 (1981).

    Google Scholar 

  12. G. Rosenberger, Eine Bemerkung zu den Triangel-Gruppen. Math. Z.132, 239–244 (1973).

    Google Scholar 

  13. P. E.Schupp, Quadratic equations in groups, cancellation diagrams on compact surfaces and automorphisms of surface groups. In: Word Problems II: The Oxford Book, edited by S.I. Adian, W. W. Boone and G. Higman, Amsterdam 1980.

  14. M. J. Wicks, Commutators in free products. J. London Math. Soc.37, 433–444 (1962).

    Google Scholar 

  15. G. Rosenberger, Produkte von Potenzen und Kommutatoren in freien Gruppen. J. Algebra53, 416–422 (1978).

    Google Scholar 

  16. G. Rosenberger, Alternierende Produkte in freien Gruppen. Pacific J. Math.78, 243–250 (1978).

    Google Scholar 

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Hill, P., Pride, S.J. Commutators, generators and conjugacy equations in groups. Arch. Math 44, 1–14 (1985). https://doi.org/10.1007/BF01193774

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