Equations in virtually class 2 nilpotent groups
We give an algorithm that decides whether a single equation in a group that is virtually a class $2$ nilpotent group with a virtually cyclic commutator subgroup, such as the Heisenberg group, admits a solution. This generalises the work of Duchin, Liang and Shapiro to finite extensions.
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| Veröffentlicht in: | Groups, complexity, cryptology complexity, cryptology, 2022-01, Vol.14, Issue 1 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We give an algorithm that decides whether a single equation in a group that
is virtually a class $2$ nilpotent group with a virtually cyclic commutator
subgroup, such as the Heisenberg group, admits a solution. This generalises the
work of Duchin, Liang and Shapiro to finite extensions. |
|---|---|
| ISSN: | 1869-6104 1869-6104 |
| DOI: | 10.46298/jgcc.2022.14.1.9776 |