Conjugacy Separability of Certain HNN Extensions of Conjugacy-Separable Groups

Authors

• Peng Choon WongFollow
• C.K. Tang

Document Type

Article

Publication Date

1-1-2000

Abstract

A group G is said to be conjugacy-separable if, for each pair of elements x, y ∈ G such that x and y are not conjugate in G, there exists a finite homomorphic image Ḡ of G such that the images of x and y are not conjugate in Ḡ. In this paper, we show that certain HNN extensions of conjugacy-separable groups are conjugacy-separable. We then apply our results to HNN extensions of polycyclic-by-finite groups.

Keywords

Conjugacy-separable, HNN extensions, Subgroup-separable

Publication Title

Algebra Colloquium

ISSN

1005-3867

Recommended Citation

Wong, Peng Choon and Tang, C.K., "Conjugacy Separability of Certain HNN Extensions of Conjugacy-Separable Groups" (2000). Research Publications (2000 to 2005). 21.
https://knova.um.edu.my/research_publications_2000_2005/21

Divisions

MathematicalSciences

Volume

7

Issue

2

Publisher

World Scientific Publishing