Conjugacy separability of certain -relator groups

Author:
C. Y. Tang

Journal:
Proc. Amer. Math. Soc. **86** (1982), 379-384

MSC:
Primary 20E26; Secondary 20F05

DOI:
https://doi.org/10.1090/S0002-9939-1982-0671198-4

MathSciNet review:
671198

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let where , , are integers. We show that groups of this type are conjugacy separable.

**[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), 8-10. MR**548072 (80k:20032)****[2]**R. B. J. T. Allenby and C. Y. Tang,*The residual finiteness of some one-relator groups with torsion*, J. Algebra**71**(1981), 132-140. MR**627429 (84e:20038a)****[3]**-,*Residually finite one-relator groups with torsion*, Arch. Math. (Basel)**37**(1981), 97-105. MR**640794 (84e:20038b)****[4]**S. M. Armstrong,*One relator groups with non-trivial centre*, M. Phil. Thesis, Queen Mary College, 1977.**[5]**B. Baumslag and F. Levin,*A class of one-relator groups with torsion*, Arch. Math. (Basel)**33**(1979), 209-215. MR**559539 (81f:20038)****[6]**G. Baumslag,*Residually finite one-relator groups*, Bull. Amer. Math. Soc.**73**(1967), 618-620. MR**0212078 (35:2953)****[7]**G. Baumslag and D. Solitar,*Some two-generator one-relator non-Hopfian groups*, Bull. Amer. Math. Soc.**68**(1962), 199-201. MR**0142635 (26:204)****[8]**A. M. Brunner and R. G. Burns,*Groups in which every finitely generated subgroup is almost a free factor*, Canad. J. Math.**31**(1979), 1329-1338. MR**553165 (81i:20027a)****[9]**J. L. Dyer,*Separating conjugates in amalgamated free products and HNN extensions,*J. Austral. Math. Soc. Ser. A**29**(1980), 35-51. MR**566274 (81f:20033)****[10]**J. Fischer, A Karrass and D. Solitar,*On one-relator groups having elements of finite order*, Proc. Amer. Math. Soc.**33**(1972), 297-301. MR**0311780 (47:342)****[11]**S. Lipschutz,*Generalization of Dehn's result on the conjugacy problem*, Proc. Amer. Math. Soc.**17**(1966), 759-762. MR**0197541 (33:5706)****[12]**W. Magnus, A. Karrass and D. Solitar,*Combinatorial group theory*, Wiley, New York, 1966.**[13]**A. W. Mostowski,*On the decidability of some problems in special classes of groups*, Fund. Math.**59**(1966), 123-135. MR**0224693 (37:292)****[14]**B. B. Newman,*Some results on one-relator groups*, Bull. Amer. Math. Soc.**74**(1968), 568-571. MR**0222152 (36:5204)****[15]**P. Stebe,*Conjugacy separability of certain free products with amalgamations*, Trans. Amer. Math. Soc.**156**(1971), 119-129. MR**0274597 (43:360)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
20E26,
20F05

Retrieve articles in all journals with MSC: 20E26, 20F05

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1982-0671198-4

Keywords:
Conjugacy separable,
conjugacy distinguishable,
residually finite,
generalized free product,
potent,
-separable,
M. Hall groups

Article copyright:
© Copyright 1982
American Mathematical Society