Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2023; 60(5): 1375-1390

Online first article September 6, 2023      Printed September 30, 2023

https://doi.org/10.4134/BKMS.b220715

Copyright © The Korean Mathematical Society.

Weak potency and cyclic subgroup separability of certain free products and tree products

Muhammad Sufi Mohd Asri, Wan Ainun Mior Othman, Kok Bin Wong, Peng Choon Wong

University of Malaya; University of Malaya; University of Malaya; University of Malaya

Abstract

Go to

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.

Keywords: Generalized free products, tree products, weakly potent, cyclic subgroup separable, residually finite

MSC numbers: Primary 20E06, 20E26, 20F05, 20F10

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

more +