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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Pride, S. J. Vernitski, A. Wong, K. B. and Wong, P. C. 2016. Conjugacy and Other Properties of One-Relator Groups. Communications in Algebra, Vol. 44, Issue. 4, p. 1588.


    Ateş, Firat and Sinan Çevik, A. 2007. (Cyclic) subgroup separability of HNN and split extensions. Mathematica Slovaca, Vol. 57, Issue. 1,


    Allenby, R. B. J. T. and Tang, C. Y. 1987. The residual finiteness of a class of 1-relator groups. Glasgow Mathematical Journal, Vol. 29, Issue. 02, p. 267.


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  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 97, Issue 2
  • March 1985, pp. 225-230

Residual finiteness of certain 1-relator groups: extensions of results of Gilbert Baumslag

  • R. B. J. T. Allenby (a1) and C. Y. Tang (a2)
  • DOI: http://dx.doi.org/10.1017/S0305004100062782
  • Published online: 24 October 2008
Abstract

Let be the class of groups which can be presented in the form

where u, v are positive words on the generators g, h, …, k and where each generator appears in uv−1 with zero exponent sum. Let be the class of groups which can be presented in the form

where u, v are words (not necessarily positive) on the disjoint sets of generators c1, …, cm and d1, …, dn and where [u, v] = u−1v−1uv.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1]R. B. J. T. Allenby , L. E. Moser and C. Y. Tang . The residual finiteness of certain one-relator groups. Proc. Amer. Math. Soc. 78 (1980), 810.

[2]R. B. J. T. Allenby and C. Y. Tang . The residual finiteness of some one-relator groups with torsion. J. Algebra 71 (1981), 132140.

[3]R. B. J. T. Allenby and C. Y. Tang . Residually finite one-relator groups with torsion. Arch. Math. 37 (1981), 97105.

[4]G. Baumslag . On the residual finiteness of generalised free products of nilpotent groups. Trans. Amer. Math. Soc. 106 (1963), 193209.

[5]G. Baumslag . Residually finite one-relator groups. Bull. Amer. Math. Soc. 73 (1967), 618620.

[6]G. Baumslag . Some problems on one-relator groups. Proc. of the Second Int. Conference on the Theory of Groups. Lecture Notes in Math. vol. 372 (Springer-Verlag, 1974), 7581.

[8]D. J. Collins . Some one-relator Hopfian groups. Trans. Amer. Math. Soc. 235 (1978), 363374.

[10]S. Meskin . Nonresidually finite one-relator groups. Trans. Amer. Math. Soc. 164 (1972), 105114.

[11]B. B. Newman . Some results on one-relator groups. Bull. Amer. Math. Soc. 74 (1968), 568571.

[12]G. Rosenberger . Über Gruppen mit einer definierenden Relation. Math. Z. 155 (1977), 7177.

[13]P. Stebe . Conjugacy separability of certain free products with amalgamation. Trans. Amer. Math. Soc. 156 (1971), 119129.

[14]P. Stebe . Residual finiteness of a class of knot groups. Comm. on Pure and Appl. Math. 21 (1968), 563583.

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