Equations in virtually class 2 nilpotent groups
Group Theory
2023-06-22 v7
Abstract
We give an algorithm that decides whether a single equation in a group that is virtually a class 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.
Cite
@article{arxiv.2009.10651,
title = {Equations in virtually class 2 nilpotent groups},
author = {Alex Levine},
journal= {arXiv preprint arXiv:2009.10651},
year = {2023}
}
Comments
17 pages, final version appearing in the journal of Groups, Complexity and Cryptology