Asri, Muhammad Sufi Mohd and Othman, Wan Ainun Mior and Wong, Kok Bin and Wong, Peng Choon (2023) Weak potency and cyclic subgroup separability of certain free products and tree products. Bulletin of the Korean Mathematical Society, 60 (5). pp. 1375-1390. ISSN 1015-8634, DOI https://doi.org/10.4134/BKMS.b220715.
Full text not available from this repository.Abstract
In this note, we shall show that the generalized free products of subgroup separable groups amalgamating a subgroup which itself is a finite extension of a finitely generated normal subgroup of both the factor groups are weakly potent and cyclic subgroup separable. Then we apply our result to generalized free products of finite extensions of finitely generated torsion-free nilpotent groups. Finally, we shall show that their tree products are cyclic subgroup separable.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Generalized free products; tree products; weakly potent; cyclic subgroup separable; residually finite |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 28 Aug 2025 04:44 |
| Last Modified: | 28 Aug 2025 04:44 |
| URI: | http://eprints.um.edu.my/id/eprint/50660 |
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