[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2005.42.3.555

THE RESIDUAL FINITENESS OF CERTAIN HNN EXTENSIONS

Choon, Wong-Peng (INSTITUTE OF MATHEMATICAL SCIENCE, UNIVERSITY OF MALAYA)
Bin, Wong-Kok (INSTITUTE OF MATHEMATICAL SCIENCE, UNIVERSITY OF MALAYA)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 555-561 More about this Journal

Abstract

In this note we give characterizations for certain HNN extensions with central associated subgroups to be residually finite. We then apply our results to HNN extensions of polycyclic-by-finite groups.

Keywords

HNN extension; sresidually finite; polycyclic-by-finite groups; abelian groups;

Citations & Related Records

Reference

1	R. B. J. T Allenby and C. Y. Tang, The residual finiteness of some one-relator groups with torsion, Arch. Math. 37 (1981), 97-105 DOI
2	S. Andreadakis, E. Raptis, and D. Varsos, Residual finiteness and hopficity of certain HNN extensions, Arch. Math. 47 (1986), 1-5 DOI
3	S. Andreadakis, E. Raptis, and D. Varsos, A characterization of residually finite HNN extensions of finitely generated abelian groups, Arch. Math. 50 (1988), 495-501 DOI
4	S. Andreadakis, E. Raptis, and D. Varsos, Extending isomorphism to automorphism, Arch. Math. 53 (1989), 121-125 DOI
5	B. Baumslag and M. Tretkoff, Residually finite HNN-extensions, Comm. Algebra 6 (1978), 179-194 DOI
6	G. Baumslag and D. Solitar, Some two-generator non-hopfian groups, Bull. Amer. Math. Soc. 68 (1962), 199-201 DOI
7	M. Shirvani, On residually finite HNN-extensions, Arch. Math. 44 (1985), 110-115 DOI
8	G. Kim and C. Y. Tang, Cyclic subgroup separability of HNN extensions with cyclic associated subgroups, Canad. Math. Bull. 42 (1999), no. 3, 335-343 DOI
9	E. Raptis and D. Varsos, The residual finiteness of HNN extensions and generalized free products of nilpotent groups: a characterization, J. Aust. Math. Soc. 53 (1992), 408-420 DOI