Criterion for the weak potency of certain HNN extensions-Reference-Cited by-同舟云学术

Criterion for the weak potency of certain HNN extensions

Published:2019-03-19 Issue:2 Volume:69 Page:381-390
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Asri M. S. M.¹,Bin Wong Kok¹,Choon Wong Peng¹

Affiliation:

1. Institute of Mathematical Sciences Faculty of Science , University of Malaya , 50603 , Kuala Lumpur , Malaysia

Abstract

Abstract In this paper, we shall establish a criterion for the weak potency of certain HNN extensions of weakly potent groups. Then, using this criterion, we shall prove certain HNN extensions of weakly potent group with finite subgroup, infinite cyclic subgroup, direct product of an infinite subgroup and a finite subgroup, or finite extensions of a central subgroup as the associated subgroups are again weakly potent.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0230/pdf

Reference14 articles.

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5. Karras, A.—Pietrowski, A.—Solitar, D.: Finite and infinite cyclic extensions of free groups, J. Austral. Math. Soc. 16 (1973), 458–466.

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