Criterion for the weak potency of certain HNN extensions

Year, pages: 2019, 381 - 390

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.

Asri, M., Wong, K., Wong, P. 2019. Criterion for the weak potency of certain HNN extensions. In Mathematica Slovaca, vol. 69, no.2, pp. 381-390. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0230

Asri, M., Wong, K., Wong, P. (2019). Criterion for the weak potency of certain HNN extensions. Mathematica Slovaca, 69(2), 381-390. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0230