@article{Michalek2017Finit-52581,
  year={2017},
  doi={10.1016/j.ejc.2016.08.007},
  title={Finite phylogenetic complexity of Z<sub>p</sub> and invariants for Z<sub>3</sub>},
  volume={59},
  issn={0195-6698},
  journal={European Journal of Combinatorics},
  pages={169--186},
  author={Michalek, Mateusz}
}

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    <dcterms:title>Finite phylogenetic complexity of Z&lt;sub&gt;p&lt;/sub&gt; and invariants for Z&lt;sub&gt;3&lt;/sub&gt;</dcterms:title>
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    <dc:contributor>Michalek, Mateusz</dc:contributor>
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    <dcterms:abstract xml:lang="eng">We study phylogenetic complexity of finite abelian groups - an invariant introduced by Sturmfels and Sullivant. The invariant is hard to compute - so far it was only known for Z&lt;sub&gt;2&lt;/sub&gt;, in which case it equals 2. We prove that phylogenetic complexity of any group Z&lt;sub&gt;p&lt;/sub&gt;, where p is prime, is finite. We also show, as conjectured by Sturmfels and Sullivant, that the phylogenetic complexity of Z&lt;sub&gt;3&lt;/sub&gt; equals 3.</dcterms:abstract>
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