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In: Mathematica Slovaca, vol. 69, no. 2
M. S. M. Asri - Kok Bin Wong - Peng Choon Wong

Criterion for the weak potency of certain HNN extensions

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Year, pages: 2019, 381 - 390
Keywords: HNN extensions, weakly potent, residually finite, finitely generated nilpotent groups

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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.

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ISO 690:
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

APA:
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

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Published: 27. 3. 2019