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Residually finite one-relator groups with torsion. (English) Zbl 0499.20021


MSC:

20F05 Generators, relations, and presentations of groups
20E26 Residual properties and generalizations; residually finite groups

Citations:

Zbl 0153.349
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Full Text: DOI

References:

[1] R. B. J. T. Allenby, L. E. Moser andC. Y. Tang, The residual finiteness of certain one relator groups. Proc. Amer. Math. Soc.78, 8-10 (1980). · Zbl 0452.20033 · doi:10.1090/S0002-9939-1980-0548072-5
[2] R. B. J. T.Allenby and C. Y.Tang, The residual finiteness of some one-relator groups with torsion. (to appear). · Zbl 0469.20017
[3] B. Baumslag andF. Levin, A class of one-relator groups with torsion. Arch. Math.33, 209-215 (1979). · Zbl 0411.20020 · doi:10.1007/BF01222748
[4] B. Baumslag andM. Tretkoff, Residually finiteHNN extensions. Comm. Alg.6, 179-194 (1978). · Zbl 0375.20024 · doi:10.1080/00927877808822240
[5] G. Baumslag, On the residual finiteness of generalised free products of nilpotent groups. Trans. Amer. Math. Soc.106, 193-209 (1963). · Zbl 0112.25904 · doi:10.1090/S0002-9947-1963-0144949-8
[6] G. Baumslag, Residually finite one-relator groups. Bull. Amer. Math. Soc.73, 618-620 (1967). · Zbl 0153.34904 · doi:10.1090/S0002-9904-1967-11799-3
[7] R. G. Burns, On finitely generated subgroups of free products. J. Austral. Math. Soc.12, 358-364 (1971). · Zbl 0218.20026 · doi:10.1017/S1446788700009824
[8] W.Magnus, A.karrass and D.Solitar, Combinatorial group theory. New York 1966. · Zbl 0138.25604
[9] H.Neumann, Varieties of groups. Ergebnisse der Mathematik, Band37, Berlin-Heidelberg-New York 1967. · Zbl 0149.26704
[10] B. B. Newman, Some results on one-relator groups. Bull. Amer. Math. Soc.74, 568-571 (1968). · Zbl 0174.04603 · doi:10.1090/S0002-9904-1968-12012-9
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