Conjugacy Separability of Certain HNN Extensions of Conjugacy-Separable Groups

Wong, Peng Choon and Tang, C.K. (2000) Conjugacy Separability of Certain HNN Extensions of Conjugacy-Separable Groups. Algebra Colloquium, 7 (2). pp. 147-158. ISSN 1005-3867, DOI https://doi.org/10.1007/s10011-000-0147-5.

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Official URL: https://doi.org/10.1007/s10011-000-0147-5

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.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: Conjugacy-separable; HNN extensions; Subgroup-separable
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 12 Apr 2021 02:04
Last Modified: 12 Apr 2021 02:04
URI: http://eprints.um.edu.my/id/eprint/25857

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