JOURNAL BROWSE
Search
Advanced SearchSearch Tips
CONJUGACY SEPARABILITY OF GENERALIZED FREE PRODUCTS OF FINITELY GENERATED NILPOTENT GROUPS
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
CONJUGACY SEPARABILITY OF GENERALIZED FREE PRODUCTS OF FINITELY GENERATED NILPOTENT GROUPS
Zhou, Wei; Kim, Goan-Su; Shi, Wujie; Tang, C.Y.;
  PDF(new window)
 Abstract
In this paper, we prove a criterion of conjugacy separability of generalized free products of polycyclic-by-finite groups with a non cyclic amalgamated subgroup. Applying this criterion, we prove that certain generalized free products of polycyclic-by-finite groups are conjugacy separable.
 Keywords
generalized free products;residually finite;conjugacy separable;nilpotent groups;
 Language
English
 Cited by
 References
1.
R. B. J. T. Allenby, G. Kim, and C. Y. Tang, Conjugacy separability of certain Seifert 3-manifold groups, J. Algebra 285 (2005), no. 2, 481-507. crossref(new window)

2.
G. Baumslag, A non-Hopfian group, Bull. Amer. Math. Soc. 68 (1962), 196-198. crossref(new window)

3.
G. Baumslag, On the residual finiteness of generalised free products of nilpotent groups, Trans. Amer. Math. Soc. 106 (1963), 193-209. crossref(new window)

4.
N. Blackburn, Conjugacy in nilpotent groups, Proc. Amer. Math. Soc. 16 (1965), 143-148. crossref(new window)

5.
J. L. Dyer, Separating conjugates in amalgamated free products and HNN extensions, J. Austral. Math. Soc. Ser. A 29 (1980), no. 1, 35-51. crossref(new window)

6.
B. Fine and G. Rosenberger, Conjugacy separability of Fuchsian groups and related questions, Combinatorial group theory (College Park, MD, 1988), 11-18, Contemp. Math., 109, Amer. Math. Soc., Providence, RI, 1990. crossref(new window)

7.
E. Formanek, Conjugate separability in polycyclic groups, J. Algebra 42 (1976), no. 1, 1-10. crossref(new window)

8.
G. Kim and C. Y. Tang, Separability properties of certain tree products of groups, J. Algebra 251 (2002), no. 1, 323-349. crossref(new window)

9.
W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory, Wiley-Interscience, New York-London-Sydney, 1966.

10.
A. I. Mal'cev, On homomorphisms onto finite groups, Amer. Math. Soc. Transl. 119 (1983), no. 2, 67-79.

11.
A. I. Mal'cev, Homomorphisms of finite groups, Ivanov Gos. Ped. Inst. Ucen. Zap. Uchen. Zap. Karel. Ped. Inst. Ser. Fiz.-Mat. Nauk 18 (1958), 49-60.

12.
A. W. Mostowski, On the decidability of some problems in special classes of groups, Fund. Math. 59 (1966), 123-135.

13.
G. A. Niblo, Separability properties of free groups and surface groups, J. Pure Appl. Algebra 78 (1992), no. 1, 77-84. crossref(new window)

14.
L. Ribes, D. Segal, and P. A. Zalesskii, Conjugacy separability and free products of groups with cyclic amalgamation, J. London Math. Soc. (2) 57 (1998), no. 3, 609-628. crossref(new window)

15.
P. Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. (2) 17 (1978), no. 3, 555-565. crossref(new window)