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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| Format: | Article |
| Language: | English |
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Episciences
2022-10-01
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| Series: | Groups, Complexity, Cryptology |
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| Online Access: | https://gcc.episciences.org/9776/pdf |