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Criterion for the weak potency of certain HNN extensions

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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… Click to show full 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.

Keywords: hnn extensions; weak potency; potency certain; certain hnn; criterion weak

Journal Title: Mathematica Slovaca
Year Published: 2019

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