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arXiv · 1610.06503

On the Conjugacy Problem in Certain Metabelian Groups

Jonathan Gryak·Delaram Kahrobaei·Conchita Martinez-Perez
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Abstract

Weanalyzethecomputationalcomplexityofanalgorithmtosolve the conjugacy search problem in a certain family of metabelian groups. We prove that in general the time complexity of the conjugacy search problem for these groups is at most exponential. For a subfamily of groups we prove that the conjugacy search problem is polynomial. We also show that for a different subfamily the conjugacy search problem reduces to the discrete logarithm problem.

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Jonathan Gryak, Delaram Kahrobaei, Conchita Martinez-Perez. 2017-12-22. On the Conjugacy Problem in Certain Metabelian Groups. https://doi.org/10.1017/s0017089518000198

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