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 |
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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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