Alex Levine - Equations in virtually class 2 nilpotent groups

gcc:9776 - journal of Groups, complexity, cryptology, October 4, 2022, Volume 14, Issue 1 - https://doi.org/10.46298/jgcc.2022.14.1.9776
Equations in virtually class 2 nilpotent groupsArticle

Authors: Alex Levine

    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.


    Volume: Volume 14, Issue 1
    Published on: October 4, 2022
    Accepted on: October 4, 2022
    Submitted on: July 8, 2022
    Keywords: Mathematics - Group Theory,20F10, 20F18, 03B25

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