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- Title
CRITERION FOR THE WEAK POTENCY OF CERTAIN HNN EXTENSIONS.
- Authors
ASRI, M. S. M.; KOK BIN WONG; PENG CHOON WONG
- 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.
- Subjects
RING extensions (Algebra); GROUP theory; INFINITY (Mathematics); POTENTIAL theory (Mathematics); FINITE fields
- Publication
Mathematica Slovaca, 2019, Vol 69, Issue 2, p381
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2017-0230